Band matrices with Toeplitz inverses |
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| Authors: | TNE Greville WF Trench |
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| Institution: | Mathematics Research Center University of Wisconsin-Madison Madison, Wisconsin 53706, USA;Department of Mathematics Drexel University Philadelphia, Pennsylvania 19104, USA |
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| Abstract: | It is shown that a square band matrix H=(hij) with hij=0 for j? i>r and i?j>s, where r+s is less than the order of the matrix, has a Toeplitz inverse if and only if it has a special structure characterized by two polynomials of degrees r and s, respectively. |
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