Generalized even and odd totally positive matrices |
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| Authors: | OY Kushel |
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| Institution: | a Institut für Mathematik, MA 4-5, Technische Universität Berlin, D-10623 Berlin, Germany
b Dept. of Mathematics, University of Rajasthan, Jaipur 302 004, India |
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| Abstract: | A generalization of the definition of an oscillatory matrix based on the theory of cones is given in this paper. The positivity and simplicity of all the eigenvalues of a generalized oscillatory matrix are proved. Classes of generalized even and odd oscillatory matrices are introduced. Spectral properties of the obtained matrices are studied. Criteria of generalized even and odd oscillation are given. Examples of generalized even and odd oscillatory matrices are presented. |
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| Keywords: | Primary: 15A48 Secondary: 15A18 15A75 |
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