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Component-wise accurate computation of the square root of an M-matrix
Dario A. Bini, Bruno Iannazzo, Beatrice Meini +1
Component-wise accurate algorithms for computing the principal square root of an M-matrix are designed in terms of triplet representations. A triplet representation of an M-matrix…
Theoretical analysis and numerical solution to a vector equation
Yuezhi Wang, Gwi Soo Kim, Jie Meng
Theoretical and computational properties of a vector equation are investigated, where is an invertible -matrix and is a nonnegative vector. Existence and…
Algorithms for square root of semi-infinite quasi-Toeplitz -matrices
Hongjia Chen, Hyun-MIn Kim, Jie Meng
A quasi-Toeplitz -matrix is an infinite -matrix that can be written as the sum of a semi-infinite Toeplitz matrix and a correction matrix. This paper is concerned with co…
Geometric means of quasi-Toeplitz matrices
Dario A. Bini, Bruno Iannazzo, Jie Meng
We study means of geometric type of quasi-Toeplitz matrices, that are semi-infinite matrices of the form , where represents a compact o…
Solving quadratic matrix equations arising in random walks in the quarter plane
Dario A. Bini, Beatrice Meini, Jie Meng
Quadratic matrix equations of the kind are encountered in the analysis of Quasi--Birth-Death stochastic processes where the solution of interest is the minim…