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Polar decomposition of oblique projections

โœ Scribed by G. Corach; A. Maestripieri


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
173 KB
Volume
433
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Products of orthogonal projections and p
โœ G. Corach; A. Maestripieri ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

We characterize the sets X of all products PQ , and Y of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{ P -Q : We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.

Singular value estimates of oblique proj
โœ Jorge Antezana; Gustavo Corach ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W โŠ• M โŠฅ , and let P W M โŠฅ denote the oblique projection with range W and nullspace M โŠฅ . In this article we get the following formula for the singular values of P W M โŠฅ : where the minimum is taken over the set of al

The polar decomposition of matrices
โœ Ralph John De la Cruz; Dennis I. Merino; Agnes T. Paras ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 191 KB