Continuous-time varying complex QR decomposition via zeroing neural dynamics

VN Katsikis, SD Mourtas, PS Stanimirović… - Neural Processing …, 2021 - Springer
QR decomposition (QRD) is of fundamental importance for matrix factorization in both real
and complex cases. In this paper, by using zeroing neural dynamics method, a continuous …

[HTML][HTML] Accurate computation of the Moore–Penrose inverse of strictly totally positive matrices

A Marco, JJ Martínez - Journal of Computational and Applied Mathematics, 2019 - Elsevier
The computation of the Moore–Penrose inverse of structured strictly totally positive matrices
is addressed. Since these matrices are usually very ill-conditioned, standard algorithms fail …

Computation of Outer Inverse of Tensors Based on t‐Product

R Behera, JK Sahoo, Y Wei - Numerical Linear Algebra with …, 2024 - Wiley Online Library
Tensor computations play an essential role in various fields of science and engineering,
including multiway data analysis. In this study, we established a few basic properties of the …

Complex ZFs for computing time-varying complex outer inverses

XZ Wang, PS Stanimirović, Y Wei - Neurocomputing, 2018 - Elsevier
Our first aim is to extend the Zhang Neural Network (ZNN) algorithmic conceptual
framework, developed so far in the computation of the matrix inverse, pseudoinverse, and …

Exact expressions for the Drazin inverse of anti-triangular matrices

D Zhang, Y Zhao, D Mosić, VN Katsikis - Journal of Computational and …, 2023 - Elsevier
The main contribution of this paper is to develop explicit expressions for the Drazin inverse
of two kinds of anti-triangular block complex matrices under new assumptions. Further, we …

Representations and properties of the W-weighted core-EP inverse

Y Gao, J Chen, P Patrício - Linear and Multilinear Algebra, 2020 - Taylor & Francis
In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and
Thome. Several computational representations of the weighted core-EP inverse are …

Representations and properties of the W-Weighted Drazin inverse

PS Stanimirović, VN Katsikis, H Ma - Linear and Multilinear Algebra, 2017 - Taylor & Francis
Several new representations of the W-weighted Drazin inverse are introduced. These
representations are expressed in terms of various matrix powers as well as in terms of matrix …

Drazin-star and star-Drazin matrices

D Mosić - Results in Mathematics, 2020 - Springer
The aim of this paper is to introduce two new classes of square matrices, which are called
the Drazin-star and star-Drazin matrices, in order to solve some type of matrix equations …

Composite outer inverses for rectangular matrices

D Mosić, PS Stanimirović - Quaestiones Mathematicae, 2021 - Taylor & Francis
Various compositions of the Drazin inverse, the group inverse or the core-EP inverse with
the Moore-Penrose inverse have investigated last years. Solving some type of matrix …

One-sided weighted outer inverses of tensors

D Mosić, PS Stanimirović, JK Sahoo, R Behera… - … of Computational and …, 2021 - Elsevier
In this paper, for the first time in literature, we introduce one-sided weighted inverses and
extend the notions of one-sided inverses, outer inverses and inverses along given elements …