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Fast enclosure for solutions of Sylvester equations

โœ Scribed by Miyajima, Shinya

Book ID
120330180
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
660 KB
Volume
439
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Fast enclosure for solutions in underdet
Fast enclosure for solutions in underdetermined systems
โœ Shinya Miyajima ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

Fast algorithms for enclosing minimal 2-norm solutions in underdetermined systems are proposed. For developing these algorithms, theory for computing error bounds for numerical solutions is established. Moreover techniques for accelerating the enclosure and obtaining smaller error bounds are introdu

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โœ F. Rotella; P. Borne ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 573 KB

The aim of the paper is to determine the solution of the Sylvester matric algebraic equation via the Kronecker algebra. The main result points out that, if the unknown matrix is (p X q), the solution can be determined through the inversion of a (min( p, q) X min( p, q)) matrix.