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Simultaneous singular value decomposition

✍ Scribed by Takanori Maehara; Kazuo Murota

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
239 KB
Volume
435
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Singular value decomposition GerΕ‘gorin s
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✍ Laura smithies; Richard S. Varga πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 179 KB

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

Applications of singular-value decomposi
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✍ Alkiviadis G. Akritas; Gennadi I. Malaschonok πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 130 KB

Let A be an m Γ— n matrix with m β‰₯ n. Then one form of the singular-value decomposition of A iswhere U and V are orthogonal and Ξ£ 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.

Singular value decomposition of multi-co
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✍ Georgi N. Boshnakov πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 168 KB

We obtain the singular value decomposition of multi-companion matrices. We completely characterise the columns of the matrix U and give a simple formula for obtaining the columns of the other unitary matrix, V, from the columns of U. We also obtain necessary and sufficient conditions for the related