Matrices Theory and Applications /

• Main Author: Serre, Denis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2002.
• Series: Graduate Texts in Mathematics, 216
• Subjects: Mathematics.; Matrix theory.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Linear and Multilinear Algebras, Matrix Theory.; Analysis.

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. The book mixes together algebra, anal...

Table of Contents:

• Elementary Theory
• Square Matrices
• Matrices with Real or Complex Entries
• Norms
• Nonnegative Matrices
• Matrices with Entries in a Principal Ideal Domain; Jordan Reduction
• Exponential of a Matrix, Polar Decomposition, and Classical Groups
• Matrix Factorizations
• Iterative Methods for Linear Problems
• Approximation of Eigenvalues.