Results 31 to 40 of about 23,672 (221)

The generalized Moore-Penrose inverse

Linear Algebra and its Applications, 1992
The generalized Moore-Penrose inverse of a matrix over an integral domain with involution is defined. Necessary and sufficient conditions for the existence of this inverse are given. Uniqueness is proven and a formula given which leads toward a ``generalized Cramer's rule'' to find the generalized Moore-Penrose solution.
Manjunatha Prasad, K., Bapat, R.B.
openaire   +1 more source

On polynomial EPr matrices

International Journal of Mathematics and Mathematical Sciences, 1992
This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an ...
Ar. Meenakshi, N. Anandam
doaj   +1 more source

Computing generalized inverses using LU factorization of matrix product

, 2011
An algorithm for computing {2, 3}, {2, 4}, {1, 2, 3}, {1, 2, 4} -inverses and the Moore-Penrose inverse of a given rational matrix A is established. Classes A(2, 3)s and A(2, 4)s are characterized in terms of matrix products (R*A)+R* and T*(AT*)+, where ...
Ben-Israel A., Campbell S. L., Chen L., Courrieu P., Lovass Nagy V., Milan B. Tasić, Predrag S. Stanimirović, Rao C. R., Stanimirović P. S., Stanimirović P. S., Wang G., Wolfram S.   +11 more
core   +1 more source

Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

AIMS Mathematics, 2022
In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding, Ying Li, Anli Wei, Zhihong Liu   +3 more
doaj   +1 more source

Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

Journal of Mathematics, 2018
Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
doaj   +1 more source

Aplikasi Invers Grup Pada Karakterisasi Invers Moore Penrose [PDF]

, 2016
Let be a ring with identity and equipped with involution " ". If is element of and has the Moore Penrose inverse, then and also have the Moore Penrose inverse.
SRRM, T. U. (Titi)
core  

Pseudo-inverses of difference matrices and their application to sparse signal approximation

, 2015
We derive new explicit expressions for the components of Moore-Penrose inverses of symmetric difference matrices. These generalized inverses are applied in a new regularization approach for scattered data interpolation based on partial differential ...
Hoffmann, Sebastian, Plonka, Gerlind, Weickert, Joachim   +2 more
core   +1 more source

From Origami to Bistable and Laminate Structures: A Review for Multifunctional Applications from Structural Perspective of Shape‐Changing Structures

Advanced Intelligent Systems, EarlyView.
This review explores how shape‐changing structures—origami, bistable, and laminate structures—enable multifunctionality in soft robotics and metamaterials. Starting from structural design, it examines core principles, real‐world applications, and ongoing challenges.
Lingchen Kong, Yaoyao Fiona Zhao
wiley   +1 more source

Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

AIMS Mathematics
In this paper, the definition of the hyper-dual Moore-Penrose generalized inverse of a hyper-dual matrix is introduced. Characterizations for the existence of the hyper-dual Moore-Penrose generalized inverse are given, and a formula for the hyper-dual ...
Qi Xiao, Jin Zhong
doaj   +1 more source

Constrainted least squares solution of Sylvester equation

Mathematical Modelling and Control, 2021
In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
doaj   +1 more source