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Explicit inverse of symmetric, tridiagonal near Toeplitz matrices Part II: with weakly diagonally dominant Toeplitz
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
In this paper, we provide explicit formulas for the exact inverses of the symmetric tridiagonal near-Toeplitz matrices characterized by weak diagonal dominance in the Toeplitz part…
Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This study investigates tridiagonal near-Toeplitz matrices in which the Toeplitz part is strictly diagonally dominant. The focus is on determining the exact inverse of these matric…
Inverse properties of a class of pentadiagonal matrices related to higher order difference operators
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This paper analyzes the convergence of fixed-point iterations of the form u = f(u) and the properties of the inverse of the related pentadiagonal matrices, associated with the four…
Inverse properties of a class of seven-diagonal (near) Toeplitz matrices
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This paper discusses the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equa…