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標(biāo)題: Titlebook: Algorithms for Quadratic Matrix and Vector Equations; Federico Poloni Book 2011 The Editor(s) (if applicable) and The Author(s), under exc [打印本頁]

作者: EVOKE    時(shí)間: 2025-3-21 18:58
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作者: 挫敗    時(shí)間: 2025-3-21 20:32

作者: 抱怨    時(shí)間: 2025-3-22 01:19
Jürgen Isberg,Hans-Horst RosackerThe problem of reducing an algebraic Riccati equation (5) to a unilateral quadratic matrix equation (2) has been considered in [32, 73, 95, 109, 138].
作者: 多嘴    時(shí)間: 2025-3-22 06:00

作者: Grating    時(shí)間: 2025-3-22 11:02

作者: 禁令    時(shí)間: 2025-3-22 12:59
Storage-optimal algorithms for Cauchy-like matricesSeveral classes of algorithms for the numerical solution of Toeplitz-like and Cauchy-like linear systems exist in the literature. We refer the reader to [153] for an extended introduction on this topic, with descriptions of each method and plenty of citations to the relevant papers, and only summarize them in Table 7.1.
作者: 等待    時(shí)間: 2025-3-22 20:31
https://doi.org/10.33283/978-3-86298-846-4se of . The notation I., with . often omitted when it is clear from the context, denotes the identity matrix; the zero matrix of any dimension is denoted simply by 0. With . we denote the vector of suitable dimension all of whose entries are 1. The expression ρ (.) stands for the spectral radius of
作者: 溫和女人    時(shí)間: 2025-3-22 22:53

作者: 國家明智    時(shí)間: 2025-3-23 03:21

作者: 的是兄弟    時(shí)間: 2025-3-23 05:49
Jürgen Isberg,Hans-Horst Rosackererical algorithms, taken mainly from [31]. Moreover, we describe several attempts to generalize the logarithmic reduction algorithm to a generic quadratic vector equation in the framework of Chapter 2, that lead to an unexpected connection with Newton’s algorithm. While the original results containe
作者: enterprise    時(shí)間: 2025-3-23 10:36

作者: 團(tuán)結(jié)    時(shí)間: 2025-3-23 16:37
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
作者: Exclaim    時(shí)間: 2025-3-23 18:59
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
作者: 殖民地    時(shí)間: 2025-3-23 23:36

作者: CHIP    時(shí)間: 2025-3-24 04:27

作者: 填料    時(shí)間: 2025-3-24 07:47
,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.
作者: pantomime    時(shí)間: 2025-3-24 14:12
,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
作者: 生存環(huán)境    時(shí)間: 2025-3-24 17:49
Algorithms for Quadratic Matrix and Vector Equations978-88-7642-384-0Series ISSN 2239-1460 Series E-ISSN 2532-1668
作者: Enzyme    時(shí)間: 2025-3-24 21:10

作者: Accolade    時(shí)間: 2025-3-25 00:54

作者: profligate    時(shí)間: 2025-3-25 07:07

作者: fabricate    時(shí)間: 2025-3-25 07:57

作者: transplantation    時(shí)間: 2025-3-25 12:24

作者: 阻撓    時(shí)間: 2025-3-25 19:44
Publications of the Scuola Normale Superiorehttp://image.papertrans.cn/a/image/153232.jpg
作者: Projection    時(shí)間: 2025-3-25 21:55
Linear algebra preliminariesse of . The notation I., with . often omitted when it is clear from the context, denotes the identity matrix; the zero matrix of any dimension is denoted simply by 0. With . we denote the vector of suitable dimension all of whose entries are 1. The expression ρ (.) stands for the spectral radius of the matrix .
作者: 身心疲憊    時(shí)間: 2025-3-26 03:31

作者: outrage    時(shí)間: 2025-3-26 04:23
Constructing other matrix geometric meanse 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.
作者: 半圓鑿    時(shí)間: 2025-3-26 10:04

作者: GEON    時(shí)間: 2025-3-26 13:10

作者: 我正派    時(shí)間: 2025-3-26 17:02
Lur’e equations 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.
作者: considerable    時(shí)間: 2025-3-27 00:57
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
作者: defuse    時(shí)間: 2025-3-27 03:58
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.
作者: 笨拙處理    時(shí)間: 2025-3-27 05:29
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.
作者: Aviary    時(shí)間: 2025-3-27 11:32

作者: Accede    時(shí)間: 2025-3-27 16:55
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
作者: Nuance    時(shí)間: 2025-3-27 20:22

作者: 召集    時(shí)間: 2025-3-27 22:04

作者: Stable-Angina    時(shí)間: 2025-3-28 05:54

作者: Acetaldehyde    時(shí)間: 2025-3-28 10:17
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.
作者: 施魔法    時(shí)間: 2025-3-28 11:29
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].
作者: Flu表流動(dòng)    時(shí)間: 2025-3-28 15:24

作者: Detain    時(shí)間: 2025-3-28 21:45
Book 2011 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
作者: kidney    時(shí)間: 2025-3-29 00:41

作者: outer-ear    時(shí)間: 2025-3-29 05:16
An effective matrix geometric mean on this manifold the geodesic joining . and . has equation . and thus . is the midpoint of the geodesic joining . and . An analysis of numerical methods for computing the geometric mean of two matrices is carried out in [96].
作者: pessimism    時(shí)間: 2025-3-29 10:28

作者: 姑姑在炫耀    時(shí)間: 2025-3-29 14:56

作者: Watemelon    時(shí)間: 2025-3-29 19:26
,C. Mündliche Verhandlung vom 10. und, on this manifold the geodesic joining . and . has equation . and thus . is the midpoint of the geodesic joining . and . An analysis of numerical methods for computing the geometric mean of two matrices is carried out in [96].
作者: 發(fā)電機(jī)    時(shí)間: 2025-3-29 21:21
Linear algebra preliminariesse of . The notation I., with . often omitted when it is clear from the context, denotes the identity matrix; the zero matrix of any dimension is denoted simply by 0. With . we denote the vector of suitable dimension all of whose entries are 1. The expression ρ (.) stands for the spectral radius of
作者: SLUMP    時(shí)間: 2025-3-30 02:42
Quadratic vector equationsthese problems have been studied extensively in the past by several authors. For references to the single equations and results, we refer the reader to the following sections, in particular Section 2.3. Many of the results appearing here have already been proved for one or more of the single instanc
作者: harrow    時(shí)間: 2025-3-30 05:30

作者: labile    時(shí)間: 2025-3-30 09:18

作者: 含水層    時(shí)間: 2025-3-30 14:12
Nonsymmetric algebraic Riccati equationsithms for their solution has had a strong acceleration in the last decade. Important progresses have been obtained concerning theoretical properties of 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,
作者: 表皮    時(shí)間: 2025-3-30 19:59
Newton method for rank-structured algebraic Riccati equations[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
作者: Pert敏捷    時(shí)間: 2025-3-30 23:17





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