The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\)

DOI10.1016/j.amc.2015.01.098zbMath1338.15038OpenAlexW2081818736MaRDI QIDQ299740

Yongxin Yuan, Kezheng Zuo

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.098

zbMATH Keywords

Moore-Penrose generalized inverseorthogonal projectorHurwitz stablere-nonnegative definite solutionre-positive definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

The common re-nonnegative definite and re-positive definite solutions to the matrix equations \(A_1XA_1^\ast = C_1\) and \(A_2XA_2^\ast = C_2 \) ⋮ A unified treatment for the restricted solutions of the matrix equation \(AXB=C\) ⋮ The Re-nnd and Re-pd solutions to the matrix equationsAX = C,XB = D ⋮ Fast linear inversion for highly overdetermined inverse scattering problems ⋮ The solution of the matrix equation \(AXB=D\) and The system of matrix equations \(AX=C\), \(XB=D\) with \(X^*X=I_p\)

Cites Work

• Unnamed Item
• Unnamed Item
• Comments on ``The common Re-nnd and Re-pd solutions to the matrix equations \(AX=C\) and \(XB=D\)
• The common Re-nnd and Re-pd solutions to the matrix equations \(AX = C\) and \(XB = D\)
• Robust Hurwitz stability via sign-definite decomposition
• Characterizations and stable tests for the Routh--Hurwitz conditions and for total positivity
• Dynamics and stability in optical communication networks: a system theory framework
• The reflexive and anti-reflexive solutions of the matrix equation \(A^{H}XB=C\)
• Ranks of least squares solutions of the matrix equation \(AXB=C\)
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• The Re-positive definite solutions to the matrix inverse problem \(AX = B\)
• A criterion for stability of matrices
• A note on Hurwitz stability of matrices
• Explicit solutions to the matrix inverse problem \(AX=B\)
• The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(AXA^{\ast}=B\)
• Hermite-Biehler, Routh-Hurwitz, and total positivity
• Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
• An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
• Linear matrix equations from an inverse problem of vibration theory
• Generalized inverses. Theory and applications.
• On the characterization of almost strictly totally positive matrices
• The Re-nonnegative definite solutions to the matrix inverse problem \(AX=B\)
• The reflexive solutions of the matrix equation \(AX B = C\)
• An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
• Nonnegative definite and positive definite solutions to the matrix equationAXA^*=B
• Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
• On the stability properties of polynomials with perturbed coefficients
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Routh’s Algorithm: A Centennial Survey
• The Equations A^TX\pm X^TA=B
• Representations and cramer rules for the solution of a restricted Matrix Equation^∗
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• On the zeros of polynomials with complex coefficients

This page was built for publication: The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\)