Abstract
In this paper we propose a direct method for solving linear systems of block-Toeplitz matrix with each block being a circulant matrix with a finite rank perturbation. The direct method is based on the Fast Fourier Transforms (FFTs) and the Sherman-Morrison-Woodbury formula. Application of the method in solving manufacturing and remanufacturing systems is also discussed.
Research supported in part by RGC Grant No. HKU 7126/02P and HKU CRCG Grant Nos. 10203919, 10204436, 10203907, 10204437, 10203501.
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Ching, WK., Ng, M.M., Yuen, WO. (2003). A Direct Method for Block-Toeplitz Systems with Applications to Re-manufacturing Systems. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44839-X_96
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DOI: https://doi.org/10.1007/3-540-44839-X_96
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