Matrices : algebra, analysis and applications

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書誌事項

Matrices : algebra, analysis and applications

Shmuel Friedland

World Scientific, c2016

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注記

Includes bibliographical references (p. 555-570) and indexes

内容説明・目次

内容説明

This volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry and numerical analysis. It consists of seven chapters that are loosely connected and interdependent. The choice of the topics is very personal and reflects the subjects that the author was actively working on in the last 40 years. Many results appear for the first time in the volume. Readers will encounter various properties of matrices with entries in integral domains, canonical forms for similarity, and notions of analytic, pointwise and rational similarity of matrices with entries which are locally analytic functions in one variable. This volume is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics.

目次

  • Domains, Modules and Matrices
  • Canonical Forms for Similarity
  • Functions of Matrices and Analytic Similarity
  • Inner Product Spaces
  • Elements of Multilinear Algebra
  • Nonnegative Matrices
  • Various Topics

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