On a characterization of tridiagonal matrices by M. Fiedler |
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| Authors: | Werner C Rheinboldt Roger A Shepherd |
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| Institution: | Computer Science Center University of Mary Land College ParkMaryland, USA;Department of Mathematics University of Maryland College Park, Maryland, USA |
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| Abstract: | In this note two new proofs are given of the following characterization theorem of M. Fiedler: Let Cn, n?2, be the class of all symmetric, real matrices A of order n with the property that rank (A + D) ? n - 1 for any diagonal real matrix D. Then for any A ε Cn there exists a permutation matrix P such that PAPT is tridiagonal and irreducible. |
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