1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
Multivariate Super-Resolution without Separation
Bakytzhan Kurmanbek, Elina Robeva
In this paper we study the high-dimensional super-resolution imaging problem. Here we are given an image of a number of point sources of light whose locations and intensities are u…
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…
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization
Bakytzhan Kurmanbek, Yerlan Amanbek, Yogi Erlangga
We present a proof of determinant of special nonsymmetric Toeplitz matrices conjectured by Anđelić and Fonseca in \cite{andjelic2020some}. A proof is also demonstrated for a more g…