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Federico Poloni
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دانلود کتاب Algorithms for Quadratic Matrix and Vector Equations (Publications of the Scuola Normale Superiore, 16)
by Federico Poloni|
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عنوان فارسی: الگوریتمهای ماتریس درجه دوم و معادلات برداری (انتشارات Scuola Normale Superiore، 16) |
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جزییات کتاب
This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.
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