Handbook of Matrices

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. ContentsDefinitions, Notation, TerminologyRules for Matrix OperationsMatrix Valued Functions of a MatrixTrace, Determinant and Rank of a MatrixEigenvalues and Singular ValuesMatrix Decompositions and Canonical FormsVectorization OperatorsVector and Matrix NormsProperties of Special MatricesVector and Matrix DerivativesPolynomials, Power Series and MatricesAppendix References Index A Dictionary of Matrices and Related Terms

Spis treści:
Definitions, Notations, 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 Matrices.
Appendix.
References.
Index.

Okładka tylna:
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 algo rithms are provided. Researchers, professionals and students using matrix techniques will find this book to be an invaluable resource for their work. ContentsDefinitions, Notation, TerminologyRules for Matrix OperationsMatrix Valued Functions of a MatrixTrace, Determinant and Rank of a MatrixEigenvalues and Singular ValuesMatrix Decompositions and Canonical FormsVectorization OperatorsVector and Matrix NormsProperties of Special MatricesVector and Matrix DerivativesPolynomials, Power Series and MatricesAppendix References Index A Dictionary of Matrices and Related Terms