✦ LIBER ✦

Applications of singular-value decomposition (SVD)

✍ Scribed by Alkiviadis G. Akritas; Gennadi I. Malaschonok

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 130 KB
Volume: 67
Category: Article
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2004.05.005

No coin nor oath required. For personal study only.

✦ Synopsis

Let A be an m × n matrix with m ≥ n. Then one form of the singular-value decomposition of A iswhere U and V are orthogonal and Σ is square diagonal. That is,ଝ This material is based on work supported in part by the Russian Ministry of Education Grant E02-2.0-98.

📜 SIMILAR VOLUMES

Simultaneous singular value decompositio

Simultaneous singular value decomposition

✍ Takanori Maehara; Kazuo Murota 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 239 KB

Partial singular value decomposition alg

Partial singular value decomposition algorithm

✍ Sabine Van Huffel 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 633 KB

Singular value decomposition Geršgorin s

Singular value decomposition Geršgorin sets

✍ Laura smithies; Richard S. Varga 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 179 KB

In this note, we introduce the singular value decomposition Geršgorin set, SV (A), of an N × N complex matrix A, where N ∞. For N finite, the set SV (A) is similar to the standard Geršgorin set, (A), in that it is a union of N closed disks in the complex plane and it contains the spectrum, σ (A), of

Perturbation of the SVD in the presence

Perturbation of the SVD in the presence of small singular values

✍ Michael Stewart 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 258 KB

This paper gives SVD perturbation bounds and expansions that are of use when an m × n, m n matrix A has small singular values. The first part of the paper gives subspace bounds that are closely related to those of Wedin but are stated so as to isolate the effect of any small singular values to the l

An SVD-like matrix decomposition and its

An SVD-like matrix decomposition and its applications

✍ Hongguo Xu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 180 KB

A matrix S ∈ C 2m×2m is symplectic if SJ S \* = J , where Symplectic matrices play an important role in the analysis and numerical solution of matrix problems involving the indefinite inner product x \* (iJ )y. In this paper we provide several matrix factorizations related to symplectic matrices. W

Singular value decomposition in Minkowsk

Singular value decomposition in Minkowski space

✍ Michael Renardy 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 261 KB