caption doctoral_advisor birth_place awards fields workplaces birth_date known_for doctoral_students image article_title name alma_mater
andrew knyazev vyacheslav ivanovich lebedev moscow , soviet union ieee senior member -lrb- 2013 -rrb- numerical analysis , applied mathematics , computer science kurchatov colorado denver mitsubishi electric research laboratories institute institute of numerical mathematics ras university of 9 june 1959 eigenvalue solvers see 95453 andrewknyazev.jpg andrei knyazev -lrb- mathematician -rrb-
 andrei -lrb- andrew -rrb- knyazev moscow state university
andrei knyazev -lrb- mathematician -rrb-

andrei -lrb- andrew -rrb- knyazev -lrb- -rrb- is a russian-american mathematician .
he graduated from the faculty of computational mathematics and cybernetics of moscow state university under the supervision of evgenii georgievich d'yakonov -lrb- -rrb- in 1981 and obtained his phd in numerical mathematics at the russian academy of sciences under the supervision of vyacheslav ivanovich lebedev -lrb- -rrb- in 1985 .
he worked at the kurchatov institute in 1981-1983 , and then to 1992 at the institute of numerical mathematics -lrb- -rrb- of the russian academy of sciences , headed by gury marchuk -lrb- -rrb- .
in 1993-1994 , he held a visiting position at the courant institute of mathematical sciences of new york university , collaborating with olof b. widlund .
from 1994 until retirement in 2014 , he was a professor of mathematics at the university of colorado denver , supported by the national science foundation and united states department of energy grants .
in 2012 , he took a research position at the mitsubishi electric research laboratories .
knyazev was mostly known for his work in numerical solution of large sparse eigenvalue problems , particularly the iterative method lobpcg .
an implementation of lobpcg was available in the public software package blopex .
a popular public electronic structure calculations package abinit used lobpcg for wavefunction parallel optimization .
knyazev collaborated with john osborn on the theory of the rayleigh -- ritz method -lrb- see also and with nikolai sergeevich bakhvalov -lrb- -rrb- on numerical solution of elliptic partial differential equations -lrb- pde 's -rrb- with large jumps in the main coefficients .
his erdős number = 4 .
