Results 211 to 220 of about 194,984,202 (237)

A Family of Iterative Methods for Computing the Approximate Inverse of a Square Matrix and Inner Inverse of a Non-Square Matrix

Applied Mathematics and Computation, 2010
If \(V_0\) is an approximate inverse of a nonsingular square matrix \(A\) such that \(\|I-AV_0\|
Weiguo Li, Zhi Li 0028
exaly   +3 more sources

On the Block Independence in Reflexive Inner Inverse and M--P Inverse of Block Matrix

SIAM Journal on Matrix Analysis and Applications, 1998
We examine the reflexive inner inverse and M--P inverse of block matrix. First, we give the definitions of block independence in generalized inverse of block matrix, and derive necessary and sufficient conditions for two m x n matrices being block independent in reflexive inner inverse and in M--P inverse.
exaly   +3 more sources

Strongly Regular J-Inner Matrix-Valued Functions and Inverse Problems for Canonical Systems

2005
This paper provides an introduction to the role of strongly regular J-inner matrix-valued functions in the analysis of inverse problems for canonical integral and differential systems. A number of the main results that were developed in a series of papers by the authors are surveyed and examples and applications are presented, including an application ...
Harry Dym, Damir Zyamovich Arov
exaly   +2 more sources

Weighted Inner Inverse for Rectangular Matrices

Quaestiones Mathematicae, 2022
To extend the notation of inner inverses, we dene weighted inner in-verses of a rectangular matrix. In particular, we introduce aW-weighted (B;C)-inner inverse of A, for given matrices A;W;B;C, and present some characterizations andconditions for its ...
Jajati Keshari Sahoo, Dijana Mosic, Ratikanta Behera   +2 more
exaly   +1 more source

On Randomized Block Gauss-Seidel Algorithms for Solving Inner Inverses of a Matrix

2024 7th International Conference on Advanced Algorithms and Control Engineering (ICAACE)
Weiguo Li, Lili Xing
exaly   +2 more sources

J-inner matrix functions, interpolation and inverse problems for canonical systems, I: Foundations

Integral Equations and Operator Theory, 1997
Inverse problems for canonical systems of differential equations of the form \[ {dy \over dx} (x,\lambda) =i\lambda y(x,\lambda) H(x)J \] were studied; \(y(x,\lambda)\) is a \(k \times m\) matrix valued function, \(H(x)\) the Hermitian of the system, \(J\) is a constant \(m \times m\) signature matrix. The study was concentrated on the classes of \(J\)-
Arov, Damir Z., Dym, Harry
openaire   +4 more sources

On the Block Independence in G–Inverse and Reflexive Inner Inverse of A Partitioned Matrix

Acta Mathematica Sinica, English Series, 2006
Suppose that \(A \in {\mathbb C}^{m\times n}, B \in {\mathbb C}^{m\times p}, C \in {\mathbb C}^{q\times n}\) and \(D \in {\mathbb C}^{q\times p}\), and the matrix \(M\) has the form \(M=\left ( \begin{matrix} A&B \\ C&D\end{matrix} \right )\). \textit{Y. Wang} [SIAM J. Matrix Anal. Appl. 19, No.
Liu, Yong Hui, Wei, Mu Sheng
openaire   +2 more sources

J-Inner matrix functions, interpolation and inverse problems for canonical systems, II: The inverse monodromy problem

Integral Equations and Operator Theory, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arov, Damir Z., Dym, Harry
openaire   +2 more sources