On parametrization of totally nonpositive matrices and applications |
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| Authors: | Rong Huang |
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| Affiliation: | School of Mathematics and Computational Science, Xiangtan University, , Xiangtan, 411105 Hunan, China |
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| Abstract: | The problem of accurate computations for totally non‐negative matrices has been studied; however, it remains open for other sign regular matrices. One major obstacle is that there is no known parametrization of these matrices. The main contribution of the present work is that we provide such parametrization of nonsingular totally nonpositive matrices. A useful application of our results is that these parameters can determine accurately the entries of the inverse of a nonsingular totally nonpositive matrix. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | totally nonpositive matrices bidiagonal factorization accurate computation |
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