Matrices are used in many areas such as staustics, econometrics, mathematics, natural sciences and engineering. This handbook provides a collection of numerous results for easy reference in one source, together with a comprehensive dictionary of matrices and related terms. The book is structured and cross-referenced so that specific results and information are easy to locate References for proofs and computational algorithms are provided. Researchers, professionals and students using matrix techniques will find this book to be an invaluable resource for their work. Contents
Definitions, Notation, Terminology
Rules for Matrix Operations
Matrix Valued Functions of a Matrix
Trace, Determinant and Rank of a Matrix
Eigenvalues and Singular Values
Matrix Decompositions and Canonical Forms
Vectorization Operators
Vector and Matrix Norms
Properties of Special Matrices
Vector and Matrix Derivatives
Polynomials, Power Series and MatricesAppendix References Index A Dictionary of Matrices and Related Terms
Definitions, Notation, Terminology
Rules for Matrix Operations
Matrix Valued Functions of a Matrix
Trace, Determinant and Rank of a Matrix
Eigenvalues and Singular Values
Matrix Decompositions and Canonical Forms
Vectorization Operators
Vector and Matrix Norms
Properties of Special Matrices
Vector and Matrix Derivatives
Polynomials, Power Series and MatricesAppendix References Index A Dictionary of Matrices and Related Terms
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