Matrix Analysis and Applications

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Xian-Da ZhangCambridge University Press, 10/5/2017EAN 9781108417419, ISBN10: 1108417418Hardcover, 756 pages, 25.4 x 17.9 x 4.6 cmLanguage: EnglishThis balanced and comprehensive st udy presents the theory, methods and applications of matrix analysis in a new theoretical framework, allowing readers to understand second-order and higher-order matrix analysis in a completely new light. Alongside the core subjects in matrix analysis, such as singular value analysis, the solution of matrix equations and eigenanalysis, the author introduces new applications and perspectives that are unique to this book. The very topical subjects of gradient analysis and optimization play a central role here. Also included are subspace analysis, projection analysis and tensor analysis, subjects which are often neglected in other books. Having provided a solid foundation to the subject, the author goes on to place particular emphasis on the many applications matrix analysis has in science and engineering, making this book suitable for scientists, engineers and graduate students alike.PrefaceNotationList of abbreviationsList of algorithmsPart I. Matrix Algebra1. Introduction to matrix algebra2. Special matrices3. Matrix differentialPart II. Matrix Analysis4. Gradient analysis and optimization5. Singular value analysis6. Solving matrix equations7. Eigenanalysis8. Subspace analysis and tracking9. Projection analysisPart III. Higher-Order Matrix Analysis10. Tensor analysisReferencesIndex. Show more