[HTML][HTML] A cubic class of iterative procedures for finding the generalized inverses

M Kansal, M Kaur, L Rani, L Jäntschi - Mathematics, 2023 - mdpi.com
This article considers the iterative approach for finding the Moore–Penrose inverse of a
matrix. A convergence analysis is presented under certain conditions, demonstrating that the …

A primal-dual perspective for distributed TD-learning

HD Lim, D Lee - arXiv preprint arXiv:2310.00638, 2023 - arxiv.org
The goal of this paper is to investigate distributed temporal difference (TD) learning for a
networked multi-agent Markov decision process. The proposed approach is based on …

Extreme and statistical properties of eigenvalue indices of simple connected graphs

S Pavlíková, D Ševčovič, J Širáň - Discrete Mathematics, 2024 - Elsevier
We analyze graphs attaining the extreme values of various spectral indices in the class of all
simple connected graphs, as well as in the class of graphs which are not complete …

[HTML][HTML] Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse

CS Liu, CL Kuo, CW Chang - Mathematics, 2024 - mdpi.com
We derive a double-optimal iterative algorithm (DOIA) in an m-degree matrix pencil Krylov
subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a …

Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs

S Pavlikova, D Sevcovic - arXiv preprint arXiv:2403.04902, 2024 - arxiv.org
In this paper, we investigate the Moore-Penrose inversion of a simple connected graph. We
analyze qualitative, statistical, and extreme properties of spectral indices of signable pseudo …

Group Inverses of Weighted Trees

R Nandi - Bulletin of the Malaysian Mathematical Sciences …, 2024 - Springer
Let (G, w) be a weighted graph with the adjacency matrix A. The group inverse of (G, w),
denoted by (G#, w#) is the weighted graph with the weight w#(vivj) of an edge vivj in G# is …

SOME RESULTS ON DRAZIN-DAGGER MATRICES, RECIPROCAL MATRICES, AND CONJUGATE EP MATRICES.

M Mortezaei, G Aghamollaei - Journal of Mahani …, 2024 - search.ebscohost.com
In this paper, a class of matrices, namely, Drazin-dagger ma-trices, in which the Drazin
inverse and the Moore-Penrose inverse com-mute, is introduced. Also, some properties of …