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130626 ||| eng |
020 |
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|a 9788876423840
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100 |
1 |
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|a Poloni, Federico
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245 |
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|a Algorithms for Quadratic Matrix and Vector Equations
|h Elektronische Ressource
|c by Federico Poloni
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250 |
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|a 1st ed. 2011
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260 |
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|a Pisa
|b Scuola Normale Superiore
|c 2011, 2011
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300 |
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|a 250 p
|b online resource
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653 |
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|a Algebra
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653 |
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|a Algebra
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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490 |
0 |
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|a Theses (Scuola Normale Superiore)
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856 |
4 |
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|u https://doi.org/10.1007/978-88-7642-384-0?nosfx=y
|x Verlag
|3 Volltext
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082 |
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|a 512
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520 |
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|a 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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