Possible spectra of totally positive matrices |
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| Authors: | Wayne W Barrett Charles R Johnson |
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| Institution: | Department of Mathematics Brigham Young University Provo, Utah 84602 USA;Institute for Physical Science and Technology University of Maryland College Park, Maryland 20742 USA |
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| Abstract: | For any given set S of n distinct positive numbers, we construct a symmetric n-by-n (strictly) totally positive matrix whose spectrum is S. Thus, in order to be the spectrum of an n-by-n totally positive matrix, it is necessary and sufficient that n numbers be positive and distinct. |
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