Some P-properties for linear transformations on Euclidean Jordan algebras
نویسندگان
چکیده
منابع مشابه
Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
A real square matrix is said to be a P-matrix if all its principal minors are positive. It is well known that this property is equivalent to: the nonsign-reversal property based on the componentwise product of vectors, the order P-property based on the minimum and maximum of vectors, uniqueness property in the standard linear complementarity problem, (Lipschitzian) homeomorphism property of the...
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Complementarity properties of Peircediagonalizable linear transformations on Euclidean Jordan algebras M. Seetharama Gowda a , J. Tao b & Roman Sznajder c a Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD, 21250, USA b Department of Mathematics and Statistics, Loyola University Maryland, Baltimore, MD, 21210, USA c Department of Mathematics, Bowi...
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In a recent paper, Chua and Yi introduced the so-called uniform nonsingularity property for a nonlinear transformation on a Euclidean Jordan algebra and showed that it implies the global uniqueness property in the context of symmetric cone complementarity problems. In a related paper, Chua, Lin, and Yi raise the question of converse. In this paper, we show that, for linear transformations, the ...
متن کاملOn the P-property of Z and Lyapunov-like transformations on Euclidean Jordan algebras
The P, Z, and S properties of a linear transformation on a Euclidean Jordan algebra are generalizations of the corresponding properties of a square matrix on R. Motivated by the equivalence of P and S properties for a Z-matrix [2] and a similar result for Lyapunov and Stein transformations on the space of real symmetric matrices [6], [5], in this paper, we present two results supporting the con...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2004
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.03.028