Solutions of the Sylvester matrix equation with triangular coefficients.
Ключові слова:
The Sylvester matrix equation, linear matrix equation, solution, triangular matrixАнотація
Matrix Sylvester-type equations over different domains appear in various branches of mathematics, for example, in control theory and dynamical systems theory.
Посилання
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.
