Matrix Mathematics: Theory, Facts, and Formulas - Second Edition Info

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When first published in 2005, Matrix Mathematics
quickly became the essential reference book for users of matrices in all
branches of engineering, science, and applied mathematics. In this
fully updated and expanded edition, the author brings together the
latest results on matrix theory to make this the most complete, current,
and easy-to-use book on matrices.

Each chapter describes
relevant background theory followed by specialized results. Hundreds of
identities, inequalities, and matrix facts are stated clearly and
rigorously with cross references, citations to the literature, and
illuminating remarks. Beginning with preliminaries on sets, functions,
and relations,Matrix Mathematics covers all of the major topics
in matrix theory, including matrix transformations; polynomial matrices;
matrix decompositions; generalized inverses; Kronecker and Schur
algebra; positive-semidefinite matrices; vector and matrix norms; the
matrix exponential and stability theory; and linear systems and control
theory. Also included are a detailed list of symbols, a summary of
notation and conventions, an extensive bibliography and author index
with page references, and an exhaustive subject index. This
significantly expanded edition of Matrix Mathematics features a
wealth of new material on graphs, scalar identities and inequalities,
alternative partial orderings, matrix pencils, finite groups, zeros of
multivariable transfer functions, roots of polynomials, convex
functions, and matrix norms.

  • Covers hundreds of
    important and useful results on matrix theory, many never before
    available in any book

  • Provides a list of symbols and a
    summary of conventions for easy use

  • Includes an extensive
    collection of scalar identities and inequalities

  • Features a
    detailed bibliography and author index with page references

  • Includes an exhaustive subject index with cross-referencing

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