Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
نویسندگان
چکیده
منابع مشابه
On positive definite solution of a nonlinear matrix equation
In this paper, an efficient iterative method is presented to solve a new nonlinear matrix equation * r X A X A I with real matrices and r 1 . Some properties of the positive definite solutions for the nonlinear matrix equation are derived. Moreover, necessary and sufficient conditions for the existence of the positive definite solutions are derived. The error estimation of the iterative m...
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We consider the nonlinear matrix equation X = Q+A (I⊗X−C)A (0 < δ ≤ 1), where Q is an n× n positive definite matrix, C is an mn×mn positive semidefinite matrix, I is the m×m identity matrix, and A is an arbitrary mn×n matrix. We prove the existence and uniqueness of the solution which is contained in some subset of the positive definite matrices under the condition that I ⊗Q > C. Two bounds for...
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ژورنال
عنوان ژورنال: CAUCHY
سال: 2018
ISSN: 2477-3344,2086-0382
DOI: 10.18860/ca.v5i2.4717