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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Bewertung der Versorgungsanrechte,[100]. The solution of interest is the minimal positive one, whose existence is proved in [100]. Note that for this equation . is an M-matrix [70]: in fact, . by Lemma 1.2.2 this is an M-matrix if and only if . which reduces to . in view of (11). According to the terminology in (5.2.2), the equation

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https://doi.org/10.1007/978-3-662-26395-2ible. Equations of type (9.1.1) were first introduced by A.I. Lur’e [119] in 1951 (see [13] for an historical overview) and play a fundamental role in systems theory, since properties like dissipativity of linear systems can be characterized via their solvability [2, 3, 4, 157]. This type of equatio

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,C. Mündliche Verhandlung vom 10. und,e definite . × . matrices. Chapter 11 mention the desirable properties listed by Ando, Li and Mathias [6]; however, these properties do not uniquely define a multivariate matrix geometric mean; thus several different definitions appeared in literature.

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,Beteiligungsvertr?ge bei VC-Finanzierungen,w algorithms for their solution. The relationships between the different quadratic vector and matrix equations are partially exploited to give better algorithms and unified proofs. However, some details still cannot be embedded elegantly in the theory, and many algorithms for one equation of the cla

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Algorithms for Quadratic Matrix and Vector Equations978-88-7642-384-0Series ISSN 2239-1460 Series E-ISSN 2532-1668

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