Results 311 to 320 of about 454,491 (346)

An Extension of the Generalized Inverse of a Matrix

SIAM Journal on Applied Mathematics, 1970
Abstract : For any complex matrix expressed as a product A = BCD, a 'product generalized inverse' (a generalization of the Moore-Penrose inverse) is defined and its properties developed. (Author)
Cline, Randall E., Greville, T. N. E.
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Impedance matrix generation by using the fast matrix generation technique

Microwave and Optical Technology Letters, 2008
AbstractThe computation of impedance matrix for layered structures is time‐consuming because each element requires the evaluation of quadruple integrals. To increase the efficiency, we propose a technique referred to as the fast matrix generation. In this method, conventional and rigorous numerical methods are still used for generating the impedance ...
Soon Jae Kwon, Raj Mittra
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On the generation of matrix generalized inverse

Computers & Electrical Engineering, 1977
Abstract A simple, readily applicable algorithm for the calculation of matrix generalized inverse is proposed. Also, listings of related subroutines are given.
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A matrix generalization of a theorem of SzegŐ

Analysis Mathematica, 1992
Let \(\lambda\) be the normalized Lebesgue measure on the unit circle \(\mathbb{T}\) of the complex plane. For a non-negative finite Borel measure \(\mu\) on \(\mathbb{T}\), let \(\mu'\) denote the Radon-Nikodým derivative of the absolutely continuous part of \(\mu\) with respect to \(\lambda\).
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Generalization of the matrix inversion lemma

Proceedings of the IEEE, 1986
A generalized form of the matrix inversion lemma is shown which allows particular forms of this lemma to be derived simply. The relationships between this direct method for solving linear matrix equations, lower-diagonal-upper decomposition, and iterative methods such as point-Jacobi and Hotelling's method are established.
Daniel J. Tylavsky, Guy R. L. Sohie
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A generalization of the Kreiss Matrix Theorem

Linear Algebra and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inversion Of A Generalized Vandermonde Matrix

International Journal of Computer Mathematics, 2003
In this paper the author gives an explicit closed form expression for the $n\times n$ inverse matrix $(V_{G}^{(k)})^{-1}(n)$ of the $n\times n$ Vandermonde matrix $V_{G}^{(k)}(n)$ by using the elementary symmetric functions. Symbolic and numerical results are presented.
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Isomorphism of generalized matrix rings

Algebra and Logic, 2008
Summary: The isomorphism problem is considered for generalized matrix rings with values in a given ring \(R\). An exhaustive answer is given for the case of a commutative domain \(R\) and a commutative local ring \(R\).
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Logical matrix generation and testing

2005
Logical matrices are generalisations of truth-tables. They provide powerful computational tools for dealing with inference systems. A matrix in which all of the axioms and rules of a theory are true (or designated) but in which some query statement is false (or undesignated) shows that the query statement cannot be derived from the given theory.
Peter K. Malkin, Errol P. Martin
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On the Classification of Matrix Generalized Inverses

SIAM Review, 1970
when solutions exist, is possessed by every matrix Ag which satisfies (1). The condition for solutions to exist is AAgy = y and when this is satisfied x = Agy is a particular solution of (5). Ag is a generalized inverse (g.i.) of A. A matrix A' which satisfies (1) and (2) is a reflexive g.i.
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