On the solution of large Sylvester-observer equations
β Scribed by D. Calvetti; B. Lewis; L. Reichel
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 341 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.254
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## Abstract We consider the Sylvester equation __AX__β__XB__+__C__=0 where the matrix __C__ββ^__n__Γ__m__^ is of low rank and the spectra of __A__ββ^__n__Γ__n__^ and __B__ββ^__m__Γ__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for
dedicated to professor hermann sohr on the occasion of his 60th birthday Consider weak solutions w of the Navier Stokes equations in Serrin's class w # L : (0, ; L q (0)) for 2Γ:+3Γq=1 with 3<q , where 0 is a general unbounded domain in R 3 . We shall show that although the initial and external di