Results 281 to 290 of about 90,344 (295)
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On the generation of matrix generalized inverse
Computers & Electrical Engineering, 1977Abstract 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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Archive for Rational Mechanics and Analysis, 1976
The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring \(R\). A technique is developed for computing conditional and reflexive inverses for matrices in \(R_{2\times 2}\), which is then used to calculate the Moore-Penrose inverse for these matrices.
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The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring \(R\). A technique is developed for computing conditional and reflexive inverses for matrices in \(R_{2\times 2}\), which is then used to calculate the Moore-Penrose inverse for these matrices.
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Algorithms for generalized inverses
Journal of Optimization Theory and Applications, 1986Every rectangular matrix has a Moore-Penrose generalized inverse. The purpose of this paper is to present several computational approaches to the determination of this generalized inverse, which plays a role in least squares problems.
R Kalaba, Nima Rasakhoo
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On generalized inverses of matrices
Mathematical Proceedings of the Cambridge Philosophical Society, 1966The notion of the inverse of a matrix with entries from the real or complex fields was generalized by Moore (6, 7) in 1920 to include all rectangular (finite dimensional) matrices. In 1951, Bjerhammar (2, 3) rediscovered the generalized inverse for rectangular matrices of maximal rank.
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The generalized inverse and inverse structure
Acta Crystallographica Section A, 1977When a structure in one space is projected or mapped or otherwise described in another space or 'language', then the transformation is usually irreversible. In the case of linear transformations a generalized inverse matrix exists even if the transformation matrix is rectangular or singular.
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Generalization of traveltime inversion [PDF]
SEG Technical Program Expanded Abstracts 1990, 1990 A nonlinear inversion method is presented, especially suited for the determination of global velocity models. In a certain sense, it can be considered as a generalization of methods based on traveltimes of reflections, with the requirement of accurately having to determine traveltimes replaced by the (less stringent and less subjective) requirement of
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Multifunction and generalized inverse
Journal of Inverse and Ill-Posed Problems, 1997On the set-theoretic base the notion of a generalized inverse of a multifunction is discussed. Further the author introduces the topological generalized inverse of a function and applies it to some ill-posed problems. In conclusion the approximation of a multifunction as a graphical limit of a sequence of injective functions is considered.
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Generalized band matrices and their inverses
Calcolo, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ROMANI, FRANCESCO +3 more
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Generalized inverses and generalized splines [PDF]
Numerical Functional Analysis and Optimization, 1980 An abstract framework in Hilbert space is provided for generalized splines and generalized inverses of operators.
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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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