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. 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 Matrices Appendix References Index A Dictionary of Matrices and Related Terms