Results 271 to 280 of about 107,267 (309)
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Inverse Order Rule for Weighted Generalized Inverse
SIAM Journal on Matrix Analysis and Applications, 1998The paper establishes some necessary and sufficient conditions for the inverse order rule of the weighted generalized inverse.
Wenyu Sun, Yimin Wei
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Generalized bilateral inverses
Journal of Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ehsan Kheirandish, Abbas Salemi
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ACM SIGAPL APL Quote Quad, 1976
Rao (1962) suggested a method for calculating a generalized inverse of an arbitrary matrix and used the method to represent a solution to the set of normal equations obtained in the theory of least squares. This method is similar to that used for calculating the regular inverse of a non-singular matrix (namely, the sweep-out method) developed by Gauss.
D. C. Lezotte, J. J. Hubert
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Rao (1962) suggested a method for calculating a generalized inverse of an arbitrary matrix and used the method to represent a solution to the set of normal equations obtained in the theory of least squares. This method is similar to that used for calculating the regular inverse of a non-singular matrix (namely, the sweep-out method) developed by Gauss.
D. C. Lezotte, J. J. Hubert
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On generalized inverse transversals
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ronghua, Wang, Shoufeng
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Monotonicity and the Generalized Inverse
SIAM Journal on Applied Mathematics, 1972Necessary and sufficient conditions are given in order that a matrix A have a nonnegative generalized inverse $A^ + $. The concept of row-monotonicity is introduced and a characterization of row-monotone matrices is used to derive a necessary and sufficient condition on $A\geqq 0$ so that $A^ + \geqq 0$.
Berman, Abraham, Plemmons, Robert J.
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Generalizing Inverse Perspective
The 2nd Canadian Conference on Computer and Robot Vision (CRV'05), 2005Inverse perspective mapping schemes have been presented in the past as frameworks in which autonomous navigation could be performed on flat surfaces, using optical flow as the main percept. We propose a generalization of these models for uneven terrains.
Mohamed Kotb, Steven S. Beauchemin
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Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oskar Maria Baksalary, Götz Trenkler
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oskar Maria Baksalary, Götz Trenkler
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Geometry, Integrability and Quantization, 2021
In this survey paper we present some aspects of generalized inverses, which are related to inner and outer invertibility, Moore-Penrose inverse, the appropriate reverse order law, and Drazin inverse.
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In this survey paper we present some aspects of generalized inverses, which are related to inner and outer invertibility, Moore-Penrose inverse, the appropriate reverse order law, and Drazin inverse.
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On computing generalized inverses
Computing, 1969A method for computing the generalized inverse of a matrix is described, which makes use of elementary orthogonal matrices and theGaussian elimination. The method also yields orthonormal bases for the ranges and the null spaces of the matrix and the generalized inverse.
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