Data-flow algorithms for parallel matrix computation
Communications of the ACM
The WY representation for products of householder matrices
SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
A parallel triangular solver for distributed-memory multiprocessor
SIAM Journal on Scientific and Statistical Computing
Parallel solution of triangular systems on distributed-memory multiprocessors
SIAM Journal on Scientific and Statistical Computing
On a block implementation of Hessenberg multishift QR iteration
International Journal of High Speed Computing
Numerical solution of the discrete-time, convergent, non-negative definite Lyapunov equation
Systems & Control Letters
Parallel solution of large Lyapunov equations
SIAM Journal on Matrix Analysis and Applications
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
A New Method for Solving Triangular Systems on Distributed Memory Message-Passing Multiprocessors
A New Method for Solving Triangular Systems on Distributed Memory Message-Passing Multiprocessors
Parallel Cyclic Wavefront Algorithms for Solving Semidefinite Lyapunov Equations
Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing
Block variants of Hammarling's method for solving Lyapunov equations
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
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In this paper new parallel algorithms to solve the Lyapunov equations for the Cholesky factor using Hammarling‘s method on message passing multiprocessors are described. These algorithms are based on previous work carried out on the parallel solution of triangular linear systems by using row block data distribution and a wavefront of antidiagonals. The algorithms are theoretically analyzed and experimental results obtained on an SGI Power Challenge and a Cray T3D are presented.