Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses by Predrag S. Stanimirović, Miroslav Ćirić, Igor Stojanović, Dimitrios Gerontitis

“…In this way, we develop computational procedures which generate various classes of inner and outer generalized inverses on the basis of resolving certain matrix equations. …”
Get full text

A generalized inversion formula for the continuous Jacobi transform by Ahmed I. Zayed

“…In this paper we extend the definition of the continuous Jacobi transform to a class of generalized functions and obtain a generalized inversion formula for it. As a by-product of our technique we obtain a necessary and sufficient condition for an analytic function F(λ) in Reλ>0 to be the continuous Jacobi transform of a generalized function.…”
Get full text

Characterizations and properties of hyper-dual Moore-Penrose generalized inverse by Qi Xiao, Jin Zhong

Subjects: “…hyper-dual moore-penrose generalized inverse…”
Get full text

Successive Matrix Squaring Algorithm for Computing the Generalized Inverse AT,S(2) by Xiaoji Liu, Yonghui Qin

“…We investigate successive matrix squaring (SMS) algorithms for computing the generalized inverse AT,S(2) of a given matrix A∈Cm×n.…”
Get full text

On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences by Adem Kiliçman, Zeyad Al-Zhour

“…Finally, we provide some examples for computing both generalized inverses AT,S(2) and A+ numerically for any arbitrary matrix Am,n of large dimension by using MATLAB and comparing the results between some of different methods.…”
Get full text

Note on the Invariance Properties of Operator Products Involving Generalized Inverses by Xiaoji Liu, Miao Zhang, Yaoming Yu

“…Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.…”
Get full text

The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix by Fuxia Yi, Enhua Li

“…This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. …”
Get full text

A note on computing the generalized inverse A T,S (2) of a matrix A by Xiezhang Li, Yimin Wei

“…The generalized inverse A T,S (2) of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. …”
Get full text

An operator inequality by P. D. Siafarikas

Subjects: Get full text

Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces by Xiaoji Liu, Fu Huang

“…A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse in Banach algebra. …”
Get full text

On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse by Keyang Zhang, Fazlollah Soleymani, Stanford Shateyi

Subjects: “…generalized inverse…”
Get full text

On polynomial EPr matrices by Ar. Meenakshi, N. Anandam

Subjects: Get full text

Resistance Distance in Tensor and Strong Product of Path or Cycle Graphs Based on the Generalized Inverse Approach by Muhammad Shoaib Sardar, Xiang-Feng Pan, Dalal Alrowaili, Imran Siddique

“…In this paper, the generalized inverse of Laplacian matrix for the graphs Pn1×Cn2 and Pn1⊠Pn2 was procured, based on which the resistance distances of any two vertices in Pn1×Cn2 and Pn1⊠Pn2 can be acquired. …”
Get full text

A Decoupling Control Method for Shunt Hybrid Active Power Filter Based on Generalized Inverse System by Xin Li, Bo Li

“…Based on the analysis of operation principle, the mathematical model of SHAPF is firstly built, which is verified to be invertible using interactor algorithm; then the generalized inverse system of SHAPF is obtained to connect in series with the original system so that the composite system is decoupled under the generalized inverse system theory. …”
Get full text

The Generalization Inverse Weibull Distribution Related to X-Gamma Generator Family: Simulation and Application for Breast Cancer by R. Alshenawy

Get full text

Trading off 1-norm and sparsity against rank for linear models using mathematical optimization: 1-norm minimizing partially reflexive ah-symmetric generalized inverses by Fampa, Marcia, Lee, Jon, Ponte, Gabriel

Subjects: Get full text

New Statistical Approaches for Modeling the COVID-19 Data Set: A Case Study in the Medical Sector by Mohammed M. A. Almazah, Kalim Ullah, Eslam Hussam, Md. Moyazzem Hossain, Ramy Aldallal, Fathy H. Riad

“…The practical application shows that the new generalized-inverse Weibull is the best modification of the inverse Weibull distribution.…”
Get full text

Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm by Shi-Fang Yuan

“…Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the least norm, and least squares real solution with the least norm of the quaternion matrix equation AXB+CXD=E, respectively.…”
Get full text

A High-Order Iterate Method for Computing AT,S(2) by Xiaoji Liu, Zemeng Zuo

“…We investigate a new higher order iterative method for computing the generalized inverse AT,S(2) for a given matrix A. We also discuss how the new method could be applied for finding approximate inverses of nonsingular square matrices. …”
Get full text

Reanalysis of Modified Structures by Adding or Removing Substructures by Yong-Su Kim, Hee-Chang Eun

“…Subsequently, a generalized inverse method to describe constrained responses is modified to obtain the reanalysis responses. …”
Get full text