Results 231 to 240 of about 60,342 (260)

Splitting based on the outer inverse of matrices

Applied Mathematics and Computation, 2002
The paper deals with the construction of a special splitting for general rectangular matrices. It is based upon the outer inverse of the coefficient matrix, for which the range and null space are given. This splitting generalizes some previous well known versions.
Xin Chen 0010, Wei Wang 0146, Yongzhong Song   +2 more
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Recurrent Neural Network for Computing Outer Inverse

Neural Computation, 2016
Two linear recurrent neural networks for generating outer inverses with prescribed range and null space are defined. Each of the proposed recurrent neural networks is based on the matrix-valued differential equation, a generalization of dynamic equations proposed earlier for the nonsingular matrix inversion, the Moore-Penrose inversion, as well as the
Ivan S. Zivkovic, Predrag S. Stanimirovic, Yimin Wei 0001   +2 more
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Outer Generalized Inverses in Rings

Communications in Algebra, 2005
ABSTRACT In this article we formulate basic results on outer generalized inverses of elements in rings. We characterize elements which have the same idempotents related to their particular outer generalized inverses and investigate positive generalized inverses in C*-algebras.
Dragan S. Djordjević, Yimin Wei
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Characterizations of Outer Generalized Inverses

Canadian Mathematical Bulletin, 2017
AbstractLetRbe a ring andb,c∊R. In this paper, we give some characterizations of the (b,c)-inverse in terms of the direct sum decomposition, the annihilator, and the invertible elements. Moreover, elements with equal (b,c)-idempotents related to their (b,c)-inverses are characterized, and the reverse order rule for the (b,c)-inverse is considered.
Long Wang, Nieves Castro-Gonzalez, Jianlong Chen   +2 more
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Outer generalized inverses in rings and related idempotents

Publicationes Mathematicae Debrecen, 2008
Summary: We investigate outer generalized inverses of elements in rings, and related idempotents. Among other things, if \(a'aa'=a'\) and \(b'bb'=b'\), we consider the relations \(b'b=a'a+u\) and \(bb'=aa'+v\) for a suitable choice of \(u\) and \(v\).
Načevska, Biljana, Djordjević, Dragan S.   +1 more
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Left and right G-outer inverses

Linear and Multilinear Algebra, 2020
The main contribution of this paper is to present new generalized inverses as weaker versions of a G-outer inverse.
Dijana Mosić, Long Wang
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Determinantal Representation of Outer Inverses in Riemannian Space

Algebra Colloquium, 2012
Starting from a known determinantal representation of outer inverses, we derive their determinantal representation in terms of the inner product in the Euclidean space. We define the double inner product of two miscellaneous tensors of rank 2 in a Riemannian space.
Stanimirović, Predrag S., Zlatanović, Milan Lj.   +1 more
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Nonlinearity in Inverse Problems of the Dynamics of Jupiter’s Outer Satellites

Solar System Research, 2021
This paper presents the results of a study of total and intrinsic nonlinearities in inverse problems of the dynamics of Jupiter’s Outer Satellites, observed on very short orbital arcs. The relationship between nonlinearity and the conditions of satellite observations is revealed.
Banshchikova, M. A., Avdyushev, V. A., Shmidt, E. E.   +2 more
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The representation and approximations of outer generalized inverses

Acta Mathematica Hungarica, 2004
Let \(X\) and \(Y\) be Banach spaces, and \(A\in L(X,Y)\). An operator \(G\in L(X,Y)\) is called an outer generalized inverse \((OGI)\) of \(A\) if \(GAG=G\). A unified representation theorem for the class of all \(OGI\)'s of an operator is presented. The theorem is a generalization for the corresponding representation of the Moore-Penrose inverse [see
Djordjević, D. S., Stanimirović, P. S., Wei, Y.   +2 more
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Composite outer inverses for rectangular matrices

Quaestiones Mathematicae, 2019
Various compositions of the Drazin inverse, the group inverse or the core-EP inverse with the Moore-Penrose inverse have investigated  last years. Solving some type of matrix equations, we introduce three new generalized inverses of a rectangular matrix, which are called the OMP, MPO and MPOMP inverses, because the outer inverse and the Moore ...
Dijana Mosić, Predrag S. Stanimirović
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