Combined Matrix of a Tridiagonal Toeplitz Matrix
Copyright policy )Combined Matrix of a Tridiagonal Toeplitz Matrix
In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied. Furthermore, this paper addresses the inverse problem, that is, given a bisymmetric, doubly quasi-stochastic tridiagonal Jacobi matrix U of order n, determine under what conditions there exists a real tridiagonal Toeplitz matrix A such that its combined matrix is U.
tridiagonal Toeplitz matrix, Tridiagonal Toeplitz matrix, linear algebra, Jacobi matrix, combined matrix, doubly quasi-stochastic matrix, QA1-939, Doubly quasi-stochastic matrix, Linear algebra, Combined matrix, Mathematics
tridiagonal Toeplitz matrix, Tridiagonal Toeplitz matrix, linear algebra, Jacobi matrix, combined matrix, doubly quasi-stochastic matrix, QA1-939, Doubly quasi-stochastic matrix, Linear algebra, Combined matrix, Mathematics
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