On solving block Toeplitz matrices using a block Schur algorithm

Gallivan , K.;Thirumalai, S.;Van Dooren, Paul
(1994) 1994 International Conference on Parallel Processing — Location: Raleigh, North Carolina

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  • Gallivan , K.UIUC
    Author
  • Thirumalai, S.UIUC
    Author
  • Van Dooren, PaulUCLouvain
    Author
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.
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Gallivan, K., Thirumalai, S., & Van Dooren, P. (1994). On solving block Toeplitz matrices using a block Schur algorithm. 1994 International Conference on Parallel Processing, Raleigh, North Carolina. https://hdl.handle.net/2078.5/225734