Methods of matrix algebra

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Page iii

Copyright page
Page iv

Foreword
Pages v-x

Symbols and Conventions
Page xi

Chapter I Vectors and Matrices
Pages 1-42

Chapter II The Inner Product
Pages 43-65

Chapter III Eigenvalues and Eigenvectors
Pages 66-96

Chapter IV Hermitian, Unitary, and Normal Matrices
Pages 97-114

Chapter V Change of Basis, Diagonalization, and the Jordan Canonical Form
Pages 115-146

Chapter VI Functions of a Matrix
Pages 147-171

Chapter VII The Matricant
Pages 172-192

Chapter VIII Decomposition Theorems and the Jordan Canonical Form
Pages 193-214

Chapter IX The Improper Inner Product
Pages 215-238

Chapter X The Dyad Expansion and Its Application
Pages 239-257

Chapter XI Projectors
Pages 258-278

Chapter XII Singular and Rectangular Operators
Pages 279-292

Chapter XIII The Commutator Operator
Pages 293-320

Chapter XIV The Direct Product and Kronecker Sum
Pages 321-334

Chapter XV Periodic Systems
Pages 335-347

Chapter XVI Application to Electromagnetic Theory
Pages 348-358

Chapter XVII Sturm-Liouville Systems
Pages 359-370

Chapter XVIII Markoff Matrices and Probability Theory
Pages 371-382

Chapter XIX Stability
Pages 383-395

References and Recommended Texts
Pages 396-399

Subject Index
Pages 401-406