Several areas of regression analysis involve the evaluation of quadratic forms of the matrix (X'X)-1. This article draws these areas together and shows how a technique due to Salkever (1976) can be ...
Abstract: The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability ...
Let Ω={X∈Cn×p| AX=B, XH=K, and AA+B=B, KH+H=K, AK=BH}, and let f(X)=(XC+D)M(XC+D)∗−G be a given quadratic Hermitian matrix-valued function. In this paper, we first establish a series of closed-form ...
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