Specialized parallel algorithms for solving Lyapunov and Stein equations

Journal of Parallel and Distributed Computing

Volumn 61, Issue 10, 2001, Pages 1489-1504

  Quintana Ortí, Enrique S ^a   Van De Geijn, Robert ^b  

^a UNIVERSITAT JAUME I   (Spain)

^b University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035183857     PISSN: 07437315     EISSN: None     Source Type: Journal    
DOI: 10.1006/jpdc.2001.1732     Document Type: Article

References (31)

1. Solution of the matrix equation AX + XB = C: Algorithm 432
2. Parallel distributed solvers for large stable generalized Lyapunov equations
3. Solving stable generalized Lyapunov equations with the matrix sign function
4. "Numerical Solution of Schur Stable Linear Matrix Equations on Multicomputers"
5. Solving the algebraic Riccati equation with the matrix sign function
6. The matrix sign function method and the computation of invariant subspaces
7. Approach to large space structure control system design using traditional tools
8. A set of level 3 basic linear algebra subprograms
9. A flexible class of parallel matrix multiplication algorithms
10. Numerical solution of the stable, non-negative definite Lyapunov equation
11. Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: Myths and reality
12. Construction of square root factor for solution of the Lyapunov matrix equation
13. A cyclic low rank Smith method for large sparse Lyapunov equations with applications in model reduction and optimal control
14. Parallel solution of selected problems in control theory
15. Linear model reduction and solution of the algebraic Riccati equation by use of the sign function
16. Matrix equation XA + BX = C
17. A note on parallel matrix inversion
18. Truncated balanced realization of a stable non-minimal state-space system
19. SUMMA: Scalable universal matrix multiplication algorithm
20. A note on Hammarling's algorithm for the discrete Lyapunov equation