a discrete dynamic convexized method for nonlinear integer programming in this paper we consider the box constrained nonlinear integer programming problem we present an auxiliary function which has the same discrete global minimizers as the problem the minimization of the function using a discrete local search method can escape successfully from previously converged discrete local minimizers by taking increasing values of a parameter we propose an algorithm to find a global minimizer of the box constrained nonlinear integer programming problem the algorithm minimizes the auxiliary function from random initial points we prove that the algorithm can converge asymptotically with probability one numerical experiments on a set of test problems show that the algorithm is efficient and robust

on an integral type operator from the bloch space to mixed norm spaces let be a holomorphic self map of b and g h b such that g 0 0 where h b is the space of all holomorphic functions on the unit ball b of c n in this paper we investigate the following integral type operator d g f z 0 1 d f t z g t z d t t f h b where d f is the fractional derivative of f h b the boundedness and compactness of the operators d g between mixed norm spaces and bloch spaces in the unit ball are studied

on non corotational rates of oldroyd s type and relevant issues in rate constitutive formulations the lower and upper oldroyd rates are two wellknown objective noncorotational rates a remarkable property of these rates is that they establish direct relationships between finite strain measures

some results concerning post infeasibility analysis abstract linear constraints are used to model diverse phenomena the number of constraints is large in many practical applications often running into several thousands a system of linear constraints is quite often inconsistent especially at the stage of model formulation a number of different approaches are possible when a system of linear constraints turns out to be inconsistent we prove some results on some plausible approaches and their limitations

cesaro type operators on some spaces of analytic functions on the unit ball abstract let h b denote the space of all holomorphic functions on the unit ball b c n in this paper we investigate the following integral operators t g f z 0 1 f tz r g tz dt t and l g f z 0 1 r f tz g tz dt t where f h b z b g h b and r h z j 1 n z j h z j z is the radial derivative of h the operator t g can be considered as an extension of the cesaro operator on the unit disk the boundedness and compactness of the operators t g and l g on the zygmund space and from the zygmund space to the bloch space are studied

weighted iterated radial operators between different weighted bergman spaces on the unit ball abstract the boundedness and compactness of weighted iterated radial operators between different weighted bergman spaces on the unit ball are characterized here

non linear analysis of shells with arbitrary evolving cracks using xfem a new formulation and numerical procedures are developed for the analysis of arbitrary crack propagation in shells using the extended finite element method the method is valid for completely non linear problems through the thickness cracks in sandwich shells are considered an exact shell kinematics is presented and a new enrichment of the rotation field is proposed which satisfies the director inextensibility condition to avoid locking an enhanced strain formulation is proposed for the 4 node cracked shell element a finite strain plane stress constitutive model based on the logarithmic corotational rate is employed a cohesive zone model is introduced which embodies the special characteristics of the shell kinematics stress intensity factors are calculated for selected problems and crack propagation problems are solved copyright 2004 john wiley sons ltd

bloch type functions with hadamard gaps abstract we give a sufficient and a necessary condition for an analytic function f on the unit disc d with hadamard gaps that is for f z k 1 a k z n k where n k 1 n k 1 for all k n to belong to the bloch type space b d f sup z d z f z f h d as well as to the corresponding little bloch type space under some conditions posed on the weight function the main results are applied to a bloch type space of interest

boundedness and compactness of an integral type operator from bloch type spaces with normal weights to f p q s space abstract the boundedness and compactness of the integral type operator l g f z 0 1 r f tz g tz dt t z b where g is a holomorphic function on the open unit ball b in c n such that g 0 0 and is a holomorphic self map of b from bloch type spaces b and b 0 where is a normal weight to f p q s space on b are characterized solving a recent open problem

iterated differentiation followed by composition from bloch type spaces to weighted bmoa spaces abstract let be a holomorphic self map of the open unit disk d and h d the class of holomorphic functions on d for n n 0 define an operator by c d n f f n f h d we characterize the boundedness and compactness of operator c d n from bloch type spaces to weighted bmoa spaces

on a product type operator from bloch spaces to weighted type spaces on the unit ball we characterize the boundedness and compactness of a product of radial derivative composition and multiplication operators from bloch spaces to weighted type spaces on the unit ball

large scale linear programming techniques for the design of protein folding potentials we present large scale optimization techniques to model the energy function that underlies the folding process of proteins linear programming is used to identify parameters in the energy function model the objective being that the model predict the structure of known proteins correctly such trained functions can then be used either for ab initio prediction or for recognition of unknown structures in order to obtain good energy models we need to be able to solve dense linear programming problems with tens possibly hundreds of millions of constraints in a few hundred parameters which we achieve by tailoring and parallelizing the interior point code pcx

generalized product type operators from weighted bergman orlicz spaces to bloch orlicz spaces let d be the open unit disk in the complex plane an analytic self map of d and an analytic function on d let dn be the nth differentiation operator and w the weighted composition operator in this paper the boundedness and compactness of the generalized product type operators dnw and w dn from weighted bergman orlicz spaces to bloch orlicz spaces are characterized

extended cesaro operators between bloch type spaces in the unit ball of cn abstract in this paper we characterize those holomorphic symbols in the unit ball of c n for which the induced extended cesaro operator t b b respectively b 0 b 0 is bounded or compact where and are normal functions on 0 1 in addition we obtain some properties of those spaces b and b 0

products of volterra type operator and composition operator from h and bloch spaces to zygmund spaces the boundedness and compactness of the products of volterra type operators and composition operators from the space of bounded analytic functions and the bloch space to the zygmund space are discussed in this paper

integral type operators from iterated logarithmic bloch spaces to zygmund type spaces let h b denote the space of all holomorphic functions on the unit ball b of c n and rh z j 1 nz j h z j z the radial derivative of h in this paper we study the boundedness and compactness of the following integral operator t g f z 0 1f tz rg tz dtt f h b z b from iterated logarithmic bloch spaces to zygmund type spaces

products of integral type operators and composition operators between bloch type spaces a complete picture on the boundedness and compactness of the products of integral type operators and composition operators between bloch type spaces of holomorphic functions on the unit disk is given in this paper

on objective corotational rates and their defining spin tensors abstract in this paper we prove a general result on objective corotational rates and their defining spin tensors let be a spin tensor that is associated with the rotation and deformation of a deforming material body in an arbitrary manner indicated by y b d w where b and d and w are the left cauchy green tensor and the stretching tensor and the vorticity tensor respectively then the corotational rate of defined by the spin i e the tensor field is objective for every time differentiable objective eulerian symmetric tensor field a if and only if the spin tensor assumes the form w y b d where y b d is an antisymmetric tensor valued isotropic function furthermore by virtue of certain necessary or reasonable requirements it is found that a single antisymmetric function of two positive real variables can be introduced to characterize a general class of spin tensors defining objective corotational rates accordingly a general explicit basis free expression for the latter is established in terms of the left cauchy green tensor b the vorticity tensor w and the stretching tensor d as well as the introduced antisymmetric function by choosing several particular forms of the latter it is shown that all commonly used spin tensors are incorporated into this general expression in a natural way

generalized composition operators on zygmund spaces and bloch type spaces the boundedness and compactness of the generalized composition operator on zygmund spaces and bloch type spaces are investigated in this paper

on a new integral type operator from the bloch space to bloch type spaces on the unit ball abstract we introduce the following integral type operator on the space h b of all holomorphic functions on the unit ball b c n p g f z 0 1 f t z g t z d t t z b where g h b g 0 0 and is a holomorphic self map of b the boundedness and compactness of the operator from the bloch space b or the little bloch space b 0 to the bloch type space b or the little bloch type space b 0 are characterized in the main results we calculate the essential norm of the operators p g b or b 0 b or b 0 in an elegant way

integral type operators from bloch type spaces to zygmund type spaces let h b denote the space of all holomorphic functions on the unit ball email protected c n this paper investigates the following integral type operator with symbol email protected h b t g f z email protected 0 1f tz rg tz dtt email protected h b email protected b where rg z email protected j 1 nz email protected email protected z j z is the radial derivative of g the boundedness and compactness of the operator t g from bloch type spaces to zygmund type spaces are studied

weighted differentiation composition operators from h and bloch spaces to nth weighted type spaces on the unit disk we characterize the boundedness and compactness of weighted differentiation composition operators from the space of bounded analytic functions the bloch space and the little bloch space to nth weighted type spaces on the unit disk

interior point methods for massive support vector machines we investigate the use of interior point methods for solving quadratic programming problems with a small number of linear constraints where the quadratic term consists of a low rank update to a positive semidefinite matrix several formulations of the support vector machine fit into this category an interesting feature of these particular problems is the volume of data which can lead to quadratic programs with between 10 and 100 million variables and if written explicitly a dense q matrix our code is based on ooqp an object oriented interior point code with the linear algebra specialized for the support vector machine application for the targeted massive problems all of the data is stored out of core and we overlap computation and input output to reduce overhead results are reported for several linear support vector machine formulations demonstrating that the method is reliable and scalable

on an integral type operator from logarithmic bloch type spaces to mixed norm spaces on the unit ball let h b denote the space of all holomorphic functions on the open unit ball b of c n and email protected h b we characterize the boundedness and compactness of the following integral type operator l gf z email protected 0 1rf tz g tz dtt email protected b where rf is the radial derivative of function f from logarithmic bloch type spaces to mixed norm spaces on the unit ball

on the maximum feasible subsystem problem iiss and iis hypergraphs we consider the max fs problem for a given infeasible linear system ax b determine a feasible subsystem containing as many inequalities as possible this problem which is np hard and also difficult to approximate has a number of interesting applications in a wide range of fields in this paper we examine structural and algorithmic properties of max fs and of irreducible infeasible subsystems iiss which are intrinsically related since one must delete at least one constraint from each iis to attain feasibility first we provide a new simplex decomposition characterization of iiss and prove that finding a smallest cardinality iis is very difficult to approximate then we discuss structural properties of iis hypergraphs i e hypergraphs in which each edge corresponds to an iis and show that recognizing iis hypergraphs subsumes the steinitz problem for polytopes and hence is np hard finally we investigate rank facets of the feasible subsystem polytope whose vertices are incidence vectors of feasible subsystems of a given infeasible system in particular using the iis hypergraph structural result we show that only two very specific types of rank inequalities induced by generalized antiwebs which generalize cliques odd holes and antiholes to general independence systems can arise as facets

a smoothing sqp framework for a class of composite l_q lq minimization over polyhedron the composite l q 0 q 1 minimization problem over a general polyhedron has received various applications in machine learning wireless communications image restoration signal reconstruction etc this paper aims to provide a theoretical study on this problem first we derive the karush kuhn tucker kkt optimality conditions for local minimizers of the problem second we propose a smoothing sequential quadratic programming framework for solving this problem the framework requires a approximate solution of a convex quadratic program at each iteration finally we analyze the worst case iteration complexity of the framework for returning an epsilon kkt point i e a feasible point that satisfies a perturbed version of the derived kkt optimality conditions to the best of our knowledge the proposed framework is the first one with a worst case iteration complexity guarantee for solving composite l q minimization over a general polyhedron

the material time derivative of logarithmic strain abstract in this article we derive explicit formulas for the time rate of change of the logarithmic strains ln u and ln v where u and v are the right and left stretch tensors respectively results are obtained in both two and three dimensions for the cases where the principal stretches are repeated as well as for the case where they are distinct the formulas are displayed in terms of v the stretching tensor d the rotation r and the principal stretches finally we consider the corotational and jaumann derivatives of ln v and establish conditions under which these logarithmic strain rates are equal to the stretching tensor

generalized weighted composition operators from zygmund spaces to bloch orlicz type spaces let d be the open unit disk in the complex plane c and h d the class of all analytic functions on d let be an analytic self map of d and h d in this paper the boundedness and compactness of the generalized weighted composition operator d n f f n from the zygmund space to the bloch orlicz space and the little bloch orlicz space are characterized

extended cesaro operators between different hardy spaces abstract let h p denote the hardy space of holomorphic functions on the unit ball b this note gives some sufficient and necessary conditions for the boundedness and compactness of the following extended cesaro operators t g f z 0 1 f tz r g tz dt t and l g f z 0 1 r f tz g tz dt t where z b and g is a fixed holomorphic map on b acting from the space h p into the space h q for the case p q our results extend and simplify some one dimensional results

bounded superposition operators between bloch orlicz and α bloch spaces we characterize all entire functions that transform a bloch orlicz space into the bloch space by superposition

weighted radial operator from the mixed norm space to the nth weighted type space on the unit ball abstract the boundedness and compactness of the weighted radial operator from the mixed norm space to the n th weighted type space on the unit ball are characterized

characterizations of composition followed by differentiation between bloch type spaces abstract some results on the boundedness and compactness of composition followed by differentiation between bloch type spaces are refined in this paper

on new bloch type spaces we introduce a new bloch type space so called the logarithmic bloch type space b l o g b a d on the unit disc d as the space of all holomorphic functions f on d such thatsupz d 1 z alne b a1 z b f z 0 and b 0 and present some basic properties of the space a necessary and a sufficient condition for a function with hadamard gaps to belong to the logarithmic bloch type space are given as well as some applications of these results to a composition operator

on the relationship between the logarithmic strain rate and the stretching tensor abstract in this paper we investigate the relationship between the stretching tensor d and the logarithmic hencky strain in v with v the left stretch tensor we establish the simple formula 1 which holds for arbitrary three dimensional motions here f is the deformation gradient is the time derivative of in v measured in a coordinate system which rotates with the left principal strain axes and is the spin of the right principal strain axes we use this formula to show that or equrvatently the jaumann derivative of ln v if and only if the characteristic spaces of the right stretch tensor u are constant on any time interval in which the number of distinct principal stretches is constant finally we show that the asymptotic approximation 3 holds whenever the displacement gradient h satisfies

the choice of objective rates in finite elastoplasticity general results on the uniqueness of the logarithmic rate a eulerian rate formulation of finite elastoplasticity is a composite one composed of a rate equation for elastic behaviour and a flow rule for plastic behaviour as well as an evolution equation for hardening behaviour in which objective eulerian tensor rates are used among a large variety of objective rates actually infinitely many how to choose suitable ones has been one of the crucial points in finite elastoplasticity it is realized that the foregoing composite formulation of elastoplasticity should fulfil certain consistency criteria in order to avoid inconsistencies or contradictions these criteria narrow the choice of objective rates these authors bruhns and co workers and xiao and co workers have recently introduced the self consistency criterion in a composite formulation of elastoplasticity the rate equation intended for characterization of elastic behaviour should be exactly integrable to deliver an elastic relation it has been demonstrated in the work of the aforementioned authors that if a composite formulation of elastoplasticity with objective rates is required to fulfil the just stated self consistency criterion as it should be then the newly discovered logarithmic rate is the only possible choice among all objective corotational rates including the zaremba jaumann rate and the green naghdi rate etc in the afore mentioned result non corotational rates including oldroyd rates cotter rivlin rate and truesdell rate etc are not taken into consideration in general it is the main goal of this paper to further establish the uniqueness of the logarithmic rate among all corotational and non corotational objective rates essential to the attainment of this goal is the use of the yielding stationarity criterion the vanishing of the stress rate implies that the yield function is stationary it is shown that the just stated criterion is necessary for a composite eulerian rate formulation of finite elastoplasticity to be consistent and means that the stress rate must be a corotational rate the main goal of this article is thus attained by combining the just stated result and the established result stated before

unified explicit basis free expressions for time rate and conjugate stress of an arbitrary hill s strain abstract this paper provides simple and unified explicit basis free expressions for time rate and conjugate stress of an arbitrary hill s strain for the first time which are valid for all cases of the eigenvalues of the right stretch tensors

on some integral type operators between a general space and bloch type spaces abstract the boundedness and compactness of the next integral operators p g f z 0 1 f tz g tz dt t and l g f z 0 1 r f tz g tz dt t between f p q s spaces and bloch type spaces on the unit ball of c n are studied among other results we solve some open problems and considerably extend results in the paper li and stevic compactness of riemann stieltjes operators between f p q s and bloch spaces publ math debrecen 72 1 2 2008 111 128

a self consistent eulerian rate type model for finite deformation elastoplasticity with isotropic damage abstract continuum models for coupled behaviour of elastoplasticity and isotropic damage at finite deformation are usually formulated by first postulating the additive decomposition of the stretching tensor d into the elastic and the plastic part and then relating each part to an objective rate of the effective stress etc it is pointed out that according to the existing models with several widely used objective stress rates none of the rate equations intended for characterizing the damaged elastic response is exactly integrable to really deliver a damaged elastic relation between the effective stress and an elastic strain measure the existing models are thus self inconsistent in the sense of formulating the damaged elastic response by consistently combining additive and multiplicative decomposition of the stretching d and the deformation gradient f and adopting the logarithmic stress rate in this article we propose a general eulerian rate type model for finite deformation elastoplasticity coupled with isotropic damage the new model is shown to be self consistent in the sense that the incorporated rate equation for the damaged elastic response is exactly integrable to yield a damaged elastic relation between the effective kirchhoff stress and the elastic logarithmic strain the rate form of the new model in a rotating frame in which the foregoing logarithmic rate is defined is derived and from it an integral form is obtained the former is found to have the same structure as the counterpart of the small deformation theory and may be appropriate for numerical integration the latter indicates in a clear and direct manner the effect of finite rotation and deformation history on the current stress and the hardening and damage behaviours further it is pointed out that in the foregoing self consistency sense of formulating the damaged elastic response the suggested model is unique among all objective eulerian rate type models of its kind with infinitely many objective stress rates to be chosen in particular it is indicated that within the context of the proposed theory a natural combination of the two widely used decompositions concerning d and f can consistently and uniquely determine the elastic and the plastic parts in the two decompositions as well as all their related kinematical quantities without recourse to any ad hoc assumption concerning a special form of the elastic part f e in the decomposition f f e f p or a related relaxed intermediate configuration as an application the proposed general model is applied to derive a self consistent eulerian rate type model for void growth and nucleation in metals experiencing finite elastic plastic deformation by incorporating a modified gurson s yield function and an associated flow rule etc two issues involved in previous relevant literature are detected and raised for consideration as a test problem the finite simple shear response of the just mentioned model is studied by means of numerical integration

constitutive inequalities for an isotropic elastic strain energy function based on hencky s logarithmic strain tensor hencky s strain energy function for finite isotropic elasticity is obtained by the replacement of the infinitesimal strain measure occurring in the classical strain energy function of infinitesimal

on an integral type operator between bloch type spaces let h b denote the space of all holomorphic functions on the unit ball b of c n let f be a holomorphic self map of b and email protected h b such that g 0 0 we study the boundedness and compactness of the following integral type operator recently introduced by stevicp f g f z email protected 0 1f f tz g tz dtt email protected b between bloch type spaces our main results are natural extensions of some results in the following paper s stevic on a new integral type operator from the bloch space to bloch type spaces on the unit ball j math anal appl 354 2009 426 434

composition operators on bloch orlicz type spaces abstract in this paper we use young s functions to define the bloch orlicz spaces as a generalization of bloch spaces we study continuity boundedness from below and compactness of composition operators on bloch orlicz spaces

the complexity and approximability of finding maximum feasible subsystems of linear relations we study the combinatorial problem which consists given a system of linear relations of finding a maximum feasible subsystem that is a solution satisfying as many relations as possible the computational complexity of this general problem named max fls is investigated for the four types of relations and various constrained versions of max fls where a subset of relations must be satisfied or where the variables take bounded discrete values are also considered we establish the complexity of solving these problems optimally and whenever they are intractable we determine their degree of approximability max fls with or relations is np hard even when restricted to homogeneous systems with bipolar coefficients whereas it can be solved in polynomial time for relations with real coefficients the various np hard versions of max fls belong to different approximability classes depending on the type of relations and the additional constraints we show that the range of approximability stretches from apx complete problems which can be approximated within a constant but not within every constant unless p np to npo pb complete ones that are as hard to approximate as all np optimization problems with polynomially bounded objective functions while max fls with equations and integer coefficients cannot be approximated within pe for some e 0 where p is the number of relations the same problem over gf q for a prime q can be approximated within q but not within qe for some e 0 max fls with strict or nonstrict inequalities can be approximated within 2 but not within every constant factor our results also provide strong bounds on the approximability of two variants of max fls with and relations that arise when training perceptrons which are the building blocks of artificial neural networks and when designing linear classifiers

on the iterated logarithmic bloch space on the unit ball abstract we introduce a new space of analytic functions on the unit ball the so called iterated logarithmic bloch space b log k and study some of its properties among other features we study the boundedness and compactness of weighted composition operators on the unit disk as well as of a recently introduced integral type operator on the unit ball with i domain the iterated logarithmic bloch space b log k or the little iterated logarithmic bloch space b log k 0 and ii range the bloch type space b or the little bloch type space b 0 or the weighted space h or the little weighted space h 0

on a new operator from the logarithmic bloch space to the bloch type space on the unit ball abstract we study the boundedness and compactness of a recently introduced operator denoted by p g which is a kind of the product of composition and integral operators on the unit ball b c n from the logarithmic bloch space b log and the little logarithmic bloch space b log 0 to the bloch type space b or the little bloch type space b 0

composition followed by differentiation from h and the bloch space to nth weighted type spaces on the unit disk the boundedness and compactness of the product of the differentiation and composition operator from the space of bounded analytic functions the bloch space and the little bloch space to nth weighted type spaces on the unit disk are characterized

remarks on rate constitutive equations for finite deformation problems computational implications it is explicitly shown that if the spatial elasticity tensor of an elastic material is taken as isotropic for all possible configurations then its coefficients cannot be constants they must depend nontrivially on the jacobian determinant of the deformation gradient moreover the assumption typically made for computational purposes that its coefficients remain constant for all possible configurations is incompatible with elasticity it is further shown that an assumption widely used in the computational literature in the context of finite deformation plasticity namely relating an objective stress rate to the rate of deformation tensor through a fourth rank constant isotropic tensor is also incompatible with elasticity thus furnishing an example of an hypoelastic material which is not elastic

products of multiplication composition and differentiation operators on weighted bergman spaces abstract let be a holomorphic function on the open unit disk d and a holomorphic self map of d let c m and d denote the composition multiplication and differentiation operator respectively we consider linear operators induced by products of these operators on weighted bergman spaces on d the boundedness is established by using carleson type measures