L-structured matrices and linear matrix equations∗
- 1 September 1983
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 14 (1) , 67-88
- https://doi.org/10.1080/03081088308817543
Abstract
Conditions for the existence of solutions, and the general solution of linear matrix equations are given, when it is known a priori that the solution matrix has a given structure (e.g. symmetric, triangular, diagonal). This theory is subsequently extended to matrix equations that are linear in several unknown ‘structured’ matrices, and to partitioned matrix equations.Keywords
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