Matrix Analysis (English Version) Volume 1

Author: (USA) Hohn, (USA) Johnson
Publisher:
Publish Date: 2005-09-01
Features: This paper elaborates on the classical and modern methods of matrix analysis from the perspective of mathematical analysis. It not only includes topics in linear algebra that arise from the needs of mathematical analysis but also extensively selects relevant topics from other disciplines such as differential equations, optimization, approximation theory, engineering, and operations research. The main contents of this book include: eigenvalues, eigenvectors, and similarity, unitary similarity, Schur triangulation and its implications, normal matrices, canonical forms, and various decompositions including Jordan canonical form, LU decomposition, QR decomposition, unitary matrices, Hermitian matrices, and complex symmetric matrices, vector norms and matrix norms, eigenvalue estimation and perturbation, positive definite matrices, and non-negative matrices. This book can serve as a textbook for graduate students in science and engineering disciplines or senior undergraduate students in mathematics, as well as a reference for mathematicians and scientific and technological personnel.