Title :
On Solving Block Toeplitz Systems Using a Block Schur Algorithm
Author :
Gallivan, K. ; Thirumalai, S. ; Dooren, Paul
Abstract :
This paper presents a block Schur algorithm to obtain a factorization of a symmetric block Toeplitz matrix. We develop a version based on block hyperbolic Householder reflectors by adapting the representation schemes for block Householder reflectors to the hyperbolic case. If a singular principal submatrix is encountered during the factorization, the matrix is perturbed and an approximate factorization is obtained. This is then combined with iterative refinement to obtain the final solution.
Conference_Titel :
Parallel Processing, 1994. ICPP 1994 Volume 3. International Conference on
Conference_Location :
North Carolina, USA
Print_ISBN :
0-8493-2493-9
DOI :
10.1109/ICPP.1994.136