Total positivity and Toda flow |
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| Authors: | G M L Gladwell |
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| Institution: | Department of Civil Engineering, University of Waterloo, Waterloo, Ont., Canada N2L 3G1 |
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| Abstract: | A real matrix A Mn is TP (totally positive) if all its minors are nonnegative; NTP, if it is non-singular and TP; STP, if it is strictly TP; O (oscillatory) if it is TP and a power Am is STP. We consider the Toda flow of a symmetric matrix A(t), and show that if A(0) is one of TP, NTP, STP or O, then A(t) is TP, NTP, STP or O, respectively. |
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| Keywords: | Totally positive matrix Oscillatory matrix Toda flow |
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