Positivity properties in pencils of matrices† |
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Authors: | WILLIAM C WATERHOUSE |
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Affiliation: | Department of Mathematics , Pennsylvania State University , University Park, PA, 16802, U.S.A. |
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Abstract: | If A and B are positive definite self-adjoint matrices, then all the matrices Pi, occurring in the expansion of an exterior power Λk(A+ λB) = P 0 + P 1λ + … + P kλk are positive definite. |
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