[图书][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Successive matrix squaring algorithm for computing outer inverses

PS Stanimirović, DS Cvetković-Ilić - Applied Mathematics and Computation, 2008 - Elsevier
In this paper, we derive a successive matrix squaring (SMS) algorithm to approximate an
outer generalized inverse with prescribed range and null space of a given matrix A∈ Crm× …

A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix

W Li, Z Li - Applied Mathematics and Computation, 2010 - Elsevier
Based on a quadratical convergence method, a family of iterative methods to compute the
approximate inverse of square matrix are presented. The theoretical proofs and numerical …

Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses

PS Stanimirović, VN Katsikis, S Li - Neurocomputing, 2019 - Elsevier
An integration-enhanced noise-tolerant zeroing neural network (IENTZNN) model for
computing various expressions involving outer inverses is defined and considered. 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 …

Modified discrete iterations for computing the inverse and pseudoinverse of the time-varying matrix

MD Petković, PS Stanimirović, VN Katsikis - Neurocomputing, 2018 - Elsevier
The general discretization scheme for transforming continuous-time ZNN models for matrix
inversion and pseudoinversion into corresponding discrete-time iterative methods is …

[HTML][HTML] Full-rank representation of generalized inverse AT, S (2) and its application

X Sheng, G Chen - Computers & Mathematics with Applications, 2007 - Elsevier
In this paper, we introduce a full-rank representation of the generalized inverse AT, S (2) of a
given complex matrix A, which is based on an arbitrary full-rank decomposition of G, where …

A family of iterative methods for computing Moore–Penrose inverse of a matrix

L Weiguo, L Juan, Q Tiantian - Linear Algebra and Its Applications, 2013 - Elsevier
This paper improves on generalized properties of a family of iterative methods to compute
the approximate inverses of square matrices originally proposed in [1]. And while the …

[图书][B] Stable perturbations of operators and related topics

Y Xue - 2012 - books.google.com
This volume is a collection of solicited and refereed articles from distinguished researchers
across the field of stochastic analysis and its application to finance. The articles represent …

Recurrent neural network for computing outer inverse

IS Živković, PS Stanimirović, Y Wei - Neural Computation, 2016 - ieeexplore.ieee.org
Two linear recurrent neural networks for generating outer inverses with prescribed range
and null space are defined. Each of the proposed recurrent neural networks is based on the …