Some explicit closed-form solutions of homogeneous and nonhomogeneous Sylvesterconjugate matrix equations are provided in this paper. One of the solutions is expressed in terms of controllability matrices and observability matrices. The proposed approach does not require all the coefficient matrices
Finite iterative solutions to coupled Sylvester-conjugate matrix equations
โ Scribed by Ai-Guo Wu; Bin Li; Ying Zhang; Guang-Ren Duan
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 341 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0307-904X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the Sylvester equation __AX__โ__XB__+__C__=0 where the matrix __C__โโ^__n__ร__m__^ is of low rank and the spectra of __A__โโ^__n__ร__n__^ and __B__โโ^__m__ร__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for
A major computational issue in the finite element (FE) integration of coupled consolidation equations is the repeated solution in time of the resulting discretized indefinite system. Because of ill-conditioning, the iterative solution, which is recommended in large size 3D settings, requires the com