On the completely-Q property for linear transformations on Euclidean Jordan algebras

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Uniform Nonsingularity Property for Linear Transformations on Euclidean Jordan Algebras

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 کامل

On 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...

متن کامل

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...

متن کامل

On the finiteness of the cone spectrum of certain linear transformations on Euclidean Jordan algebras

Let L be a linear transformation on a finite dimensional real Hilbert space H and K be a closed convex cone with dual K in H . The cone spectrum of L relative to K is the set of all real λ for which the linear complementarity problem x ∈ K, y = L(x)− λx ∈ K, and 〈x, y〉 = 0 admits a nonzero solution x. In the setting of a Euclidean Jordan algebra H and the corresponding symmetric cone K, we disc...

متن کامل

Complementarity properties of Peirce-diagonalizable linear transformations on Euclidean Jordan algebras

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2013

ISSN: 0024-3795

DOI: 10.1016/j.laa.2012.09.033