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Hermitian spectral pseudoinversion and its applications.
- Source :
- Mathematical Notes; Jul2014, Vol. 96 Issue 1/2, p110-121, 12p
- Publication Year :
- 2014
-
Abstract
- The present paper is devoted to the Hermitian spectral pseudoinversion and its applications to analysis, the solution and reduction of Hermitian differential-algebraic systems. New explicit formulas for the solutions of such systems and the solutions of related generalized Lyapunov equations are proposed. Attainable upper bounds for the norms of the solutions are obtained. A realization of the balanced truncation method not requiring computations involving projections onto deflating subspaces is proposed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 96
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 97565332
- Full Text :
- https://doi.org/10.1134/S0001434614070104