Numerical Linear Algebra in Applications
نویسندگان
چکیده
منابع مشابه
Numerical Linear Algebra in Signal Processing Applications
1 Istituto per le Applicazioni del Calcolo “M. Picone”, sede di Bari, Consiglio Nazionale delle Ricerche Via G. Amendola 122/D, I-70126 Bari, Italy 2Department of Computer Science, Stanford University, Gates Building 2B, Room 280, Stanford, CA 94305-9025, USA 3Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA 4Department of Electrical Engi...
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(1, 1) [Cao08, Krz11]. (2, 2) [Li00]. (m, k) [MN00]. (q) [Jia96]. + [LJM14]. 0.822 [Ano09]. 16 [KM09]. 2 [AM96, BV13, Mar94, NBKS99, QB15, ZV 14, vKVW00]. 2× 2 [AB10, AB13, Cao13, Kol05]. 3 [GKY97, LPW06, NBKS99, PM97, PR96, mMP99, vKVW00]. 4 [MR14]. A [CC07]. A− BX ±X ∗ B∗ [LT08]. A−XB [Den09]. α [Tre13]. AXA∗ = B [Tia13]. AXB + CYD = E [yPxP06, WTZD10]. AXB = C [fLyHZ11, Miy15]. H [Gra08, LOY...
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SUMMARY StratiGraph, a Java-based tool for computation and presentation of closure hierarchies of Jordan and Kronecker structures is presented. The tool is based on recent theoretical results on stratiications of orbits and bundles of matrices and matrix pencils. A stratiication reveals the complete hierarchy of nearby structures, information critical for explaining the qualitative behavior of ...
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The main general reference for this and the next two lectures is a recent book [6] and its preliminary version [5] which is freely available on the web. 1 Why iterative methods? As we already know, there are two major classes of methods to solve linear systems: direct methods (like LU factorization, Cholesky factorization, etc.) and iterative methods. We underline the following properties of th...
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at the current iterate x ∈ Rn. In practice, we find that the bulk of computational resources (memory, time) consumed by these algorithms is spent constructing and solving these linear systems, and not in the higher-level algorithmic details. That is not to say that the higher-level details do not impact performance; for example, algorithmic improvements could result in a reduction in the number...
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ژورنال
عنوان ژورنال: Journal of Applied & Computational Mathematics
سال: 2012
ISSN: 2168-9679
DOI: 10.4172/2168-9679.1000e101