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Titlebook: Algorithms for Quadratic Matrix and Vector Equations; Federico Poloni Book 2011 The Editor(s) (if applicable) and The Author(s), under exc

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2239-1460 erations 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.978-88-7642-383-3978-88-7642-384-0Series ISSN 2239-1460 Series E-ISSN 2532-1668
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https://doi.org/10.1007/978-3-662-26395-2 of singular . has received comparatively little attention. However, the singularity of . is often a structural property of the system to be analyzed [140] and can therefore not be avoided by arguments of genericity.
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Wesentliche Ergebnisse der Arbeit in Thesen, proofs with a little change of notation to adapt them to our framework, but in some cases we are effectively able to remove some hypotheses and generalize the results by abstracting the specific aspects of each problem.
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2239-1460 g algorithm which can be exploited to develop suitable modifThis 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 t
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Unilateral quadratic matrix equationsatic vector equation in the framework of Chapter 2, that lead to an unexpected connection with Newton’s algorithm. While the original results contained in this chapter are modest, most of the background material exposed here is needed later in Chapter 6.
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Nonsymmetric algebraic Riccati equationsf this class of matrix equations and new effective algorithms relying on the properties of M-matrices have been designed and analyzed [15, 39, 33, 32, 56, 70, 71, 74, 72, 77, 69, 94, 100, 115, 116, 117].
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