Solutions of the Sylvester matrix equation with triangular coefficients.

Authors

  • N. Dzhaliuk Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, L’viv, Ukraine

Keywords:

The Sylvester matrix equation, linear matrix equation, solution, triangular matrix

Abstract

Matrix Sylvester-type equations over different domains appear in various branches of mathematics, for example, in control theory and dynamical systems theory.

References

W.E. Roth, The equations AX-YB=C and AX-XB=c in matrices , Proc. Amer. Math. Soc. (1952), no. 3, 392-396.

Y. Tian, Completing triangular block matrices with maximal and minimal ranks, Linear Algebra Appl. 321 (2000), 327-345.

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