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A Hessenberg method for the numerical solutions to types of block Sylvester matrix equations

✍ Scribed by Mohamed A. Ramadan; Naglaa M. El-Shazly; Basem I. Selim

Book ID
108200925
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
329 KB
Volume
52
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Existence of a low rank or β„‹-matrix appr
Existence of a low rank or β„‹-matrix approximant to the solution of a Sylvester equation
✍ L. Grasedyck πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 190 KB

## Abstract We consider the Sylvester equation __AX__βˆ’__XB__+__C__=0 where the matrix __C__βˆˆβ„‚^__n__Γ—__m__^ is of low rank and the spectra of __A__βˆˆβ„‚^__n__Γ—__n__^ and __B__βˆˆβ„‚^__m__Γ—__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for