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Matrix Theory

Basic Results and Techniques

  • Textbook
  • © 1999

Overview

Authors:
  1. Fuzhen Zhang

    1. Department of Math, Science, and Technology, Nova Southeastern University, Fort Lauderdale, USA

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Part of the book series: Universitext (UTX)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Elementary Linear Algebra Review

    • Fuzhen Zhang
    Pages 1-28

  3. Partitioned Matrices

    • Fuzhen Zhang
    Pages 29-58

  4. Matrix Polynomials and Canonical Forms

    • Fuzhen Zhang
    Pages 59-92

  5. Special Types of Matrices

    • Fuzhen Zhang
    Pages 93-130

  6. Unitary Matrices and Contractions

    • Fuzhen Zhang
    Pages 131-158

  7. Positive Semidefinite Matrices

    • Fuzhen Zhang
    Pages 159-207

  8. Hermitian Matrices

    • Fuzhen Zhang
    Pages 208-239

  9. Normal Matrices

    • Fuzhen Zhang
    Pages 240-264

  10. Back Matter

    Pages 265-279
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Keywords

About this book

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains eight chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for senior or graduate students. The only prerequisites are a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.

Authors and Affiliations

  • Department of Math, Science, and Technology, Nova Southeastern University, Fort Lauderdale, USA

    Fuzhen Zhang

Bibliographic Information

  • Book Title: Matrix Theory

  • Book Subtitle: Basic Results and Techniques

  • Authors: Fuzhen Zhang

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4757-5797-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • eBook ISBN: 978-1-4757-5797-2Published: 14 March 2013

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XIII, 279

  • Topics: Linear and Multilinear Algebras, Matrix Theory

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