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Author:   Harry Dym
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   3rd Revised edition
Weight:   0.272kg
ISBN:  

9781470472061

ISBN 10:   1470472066
Pages:   485
Publication Date:   27 September 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Prerequisites Dimension and rank Gaussian elimination Eigenvalues and eigenvectors Towards the Jordan decomposition The Jordan decomposition Determinants Companion matrices and circulants Inequalities Normed linear spaces Inner product spaces Orthogonality Normal matrices Projections, volumes, and traces Singular value decomposition Positive definite and semidefinite matrices Determinants redux Applications Discrete dynamical systems Continuous dynamical systems Vector-valued functions Fixed point theorems The implicit function theorem Extremal problems Newton's method Matrices with nonnegative entries Applications of matrices with nonnegative entries Eigenvalues of Hermitian matrices Singular values redux I Singular values redux II Approximation by unitary matrices Linear functionals A minimal norm problem Conjugate gradients Continuity of eigenvalues Eigenvalue location problems Matrix equations A matrix completion problem Minimal norm completions The numerical range Riccati equations Supplementary topics Toeplitz, Hankel, and de Branges Bibliography Notation index Subject index.

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Harry Dym, Weizmann Institute of Science, Rehovot, Israel

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