[書籍][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 …
concepts, applications, and computational software packages in an easy-to-use handbook …
[書籍][B] Generalized inverses: theory and computations
The concept of the generalized inverses was first introduced by I. Fredholm [81] in 1903. He
proposed a generalized inverse of an integral operator, called pseudoinverse. The …
proposed a generalized inverse of an integral operator, called pseudoinverse. The …
Successive matrix squaring algorithm for computing outer inverses
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× …
outer generalized inverse with prescribed range and null space of a given matrix A∈ Crm× …
On the generalized Drazin inverse and generalized resolvent
We investigate the generalized Drazin inverse and the generalized resolvent in Banach
algebras. The Laurent expansion of the generalized resolvent in Banach algebras is …
algebras. The Laurent expansion of the generalized resolvent in Banach algebras is …
Characterizations, approximation and perturbations of the core-EP inverse
H Ma, PS Stanimirović - Applied Mathematics and Computation, 2019 - Elsevier
Several characterizations and representations for the core-EP inverse are presented and
investigated. To that goal, several explicit bordering technique for characterizing and …
investigated. To that goal, several explicit bordering technique for characterizing and …
Characterizations of the core inverse and the core partial ordering
H Wang, X Liu - Linear and Multilinear Algebra, 2015 - Taylor & Francis
In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary
and Trenkler [Linear Multilinear Algebra. 2010; 58: 681–697]. We prove that the core inverse …
and Trenkler [Linear Multilinear Algebra. 2010; 58: 681–697]. We prove that the core inverse …
Characterizations of k-commutative equalities for some outer generalized inverses
In this paper, we present necessary and sufficient conditions for the k-commutative equality
A k X= XA k, where X is an outer generalized inverse of the square matrix A. Also, we give …
A k X= XA k, where X is an outer generalized inverse of the square matrix A. Also, we give …
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 …
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
An integration-enhanced noise-tolerant zeroing neural network (IENTZNN) model for
computing various expressions involving outer inverses is defined and considered. The …
computing various expressions involving outer inverses is defined and considered. The …
Three limit representations of the core-EP inverse
M Zhou, J Chen, T Li, D Wang - arxiv preprint arxiv:1804.05206, 2018 - arxiv.org
In this paper, we present three limit representations of the core-EP inverse. The first
approach is based on the full-rank decomposition of a given matrix. The second and third …
approach is based on the full-rank decomposition of a given matrix. The second and third …