Matrices: Algebra, Analysis And Applications

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A01=Shmuel Friedland
Analytic Similarity of Matrices
Application to Cellular Communication
Author_Shmuel Friedland
Category=PBW
Category=UY
Companion Matrix
Cones
Convexity
CUR-Approximation
Determinants
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Equivalence of Matrices
Functions of Matrices
Graphs
Inequalities
Inner Product Spaces
Inverse Eigenvalue Problems
Low Rank Approximation
Majorization
Markov Chains
Matrix Exponents
Max-Min Characterization of Eigenvalues
MooreAcAEURA"Penrose Inverse
Moore–Penrose Inverse
Normal Forms of Matrices
Norms
Pencils of Matrices
PerronAcAEURA"Frobenius Theorem
Perron–Frobenius Theorem
Perturbations
Positive Definite Operators and Matrices
Property L
Rellich's Theorem
Singular Value Decomposition
Sparse Bases
Spectral Functions
Strict Similarity of Pencils
Symmetric and Hermitian Forms
Tensor Products

Product details

  • ISBN 9789813141032
  • Publication Date: 30 Dec 2015
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
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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.

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