๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The structure of the inverse to the Sylvester resultant matrix

โœ Scribed by Boris D. Lubachevsky


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
477 KB
Volume
85
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The inverse of a matrix polynomial
โœ C.E. Langenhop ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 817 KB
Existence of a low rank or โ„‹-matrix appr
โœ L. Grasedyck ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 190 KB

## Abstract We consider the Sylvester equation __AX__โˆ’__XB__+__C__=0 where the matrix __C__โˆˆโ„‚^__n__ร—__m__^ is of low rank and the spectra of __A__โˆˆโ„‚^__n__ร—__n__^ and __B__โˆˆโ„‚^__m__ร—__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for