On the reconstruction of Toeplitz matrix inverses from columns |
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Authors: | Georg Heinig |
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Institution: | Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait |
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Abstract: | In this paper we discuss the problem whether and how the inverse of a Toeplitz matrix can be recovered from some of its columns or parts of columns under the requirement that only 2n−1 parameters are involved. The results generalize and strengthen earlier findings by Trench, Gohberg, Semencul, Krupnik, Ben-Artzi, Shalom, Labahn, Rodman and others. Special attention is paid to symmetric, skewsymmetric and hermitian Toeplitz matrix inverses and the question whether such a matrix can be retrieved from a single column. |
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Keywords: | Toeplitz matrix Matrix inversion Fast algorithms |
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