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The Solutions of Matrix Equation $AX=B$ Over a Matrix Inequality Constraint

✍ Scribed by Peng, Zhen-yun; Wang, Lin; Peng, Jing-jing

Book ID: 115448812
Publisher: Society for Industrial and Applied Mathematics
Year: 2012
Tongue: English
Weight: 222 KB
Volume: 33
Category: Article
ISSN: 0895-4798
DOI: 10.1137/100808678

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📜 SIMILAR VOLUMES

Solutions of the Matrix Equation A*=XA=A

Solutions of the Matrix Equation A*=XA=AX

✍ Katz, I. J.; Pearl, M. H. 📂 Article 📅 1966 🏛 Oxford University Press 🌐 English ⚖ 227 KB

The reflexive solutions of the matrix eq

The reflexive solutions of the matrix equation AX B = C

✍ D.S. Cvetković-Iliíc 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 283 KB

In this paper, we study the existence of a reflexive, with respect to the generalized reflection matrix P, solution of the matrix equation AXB = C. For the special case when B = I, we get the result of Peng and Hu [1].

The solution to matrix equation AX+XTC=B

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The skew-symmetric orthogonal solutions

The skew-symmetric orthogonal solutions of the matrix equation AX=B

✍ Chunjun Meng; Xiyan Hu; Lei Zhang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 254 KB

The symmetric solutions of the matrix in

The symmetric solutions of the matrix inequality AX ≥ B in least-squares sense

✍ Peng, Jingjing; Peng, Zhenyun 📂 Article 📅 2013 🏛 Taylor and Francis Group 🌐 English ⚖ 132 KB

The reflexive and anti-reflexive solutio

The reflexive and anti-reflexive solutions of the matrix equation AX=B

✍ Zhen-yun Peng; Xi-yan Hu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 177 KB

An n × n complex matrix P is said to be a generalized reflection matrix if P H = P and P 2 = I . An n × n complex matrix A is said to be a reflexive (or anti-reflexive) matrix with respect to the generalized reflection matrix P if A = P AP (or A = -P AP ). This paper establishes the necessary and su