Linear Algebra III Advanced topics
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740302424
Table of contents: title: Self Adjoint Operators; title: Simultaneous Diagonalization; title: Schur’s Theorem; title: Spectral Theory Of Self Adjoint Operators; title: Positive And Negative Linear Transformations; title: Fractional Powers; title: Polar Decompositions; title: An Application To Statistics; title: The Singular Value Decomposition; title: Approximation In The Frobenius Norm; title: Least Squares And Singular Value Decomposition; title: The Moore Penrose Inverse; title: Exercises; title: Norms For Finite Dimensional Vector Spaces; title: The p Norms; title: The Condition Number; title: The Spectral Radius; title: Series And Sequences Of Linear Operators; title: Iterative Methods For Linear Systems; title: Theory Of Convergence; title: Exercises; title: Numerical Methods For Finding Eigenvalues; title: The Power Method For Eigenvalues; title: The QR Algorithm; title: Exercises; title: Positive Matrices; title: Functions Of Matrices; title: Differential Equations; title: Compactness And Completeness; title: Fundamental Theorem Of Algebra; title: Fields And Field Extensions; title: Bibliography; title: SelectedExercises