Results 181 to 190 of about 152,432 (212)

Concise row-pruning algorithm to invert a matrix

Applied Mathematics and Computation, 1994
The authors present in a vector formulation an \(O(mn^ 2)\) direct concise algorithm that prunes resp. identifies the linearly dependent (ld) rows of an arbitrary \(m \times n\) matrix. Some of the salient features of this algorithm are that (i) the algorithm is concise, (ii) the minimum norm least squares solution for the equations is readily ...
Lakshmikantham, V, Sen, SK, Sivasundaram, S   +2 more
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Inverting the Pascal Matrix Plus One

The American Mathematical Monthly, 2002
Immediately we notice this is basically the same matrix, except with every other subdiagonal multiplied by a factor of negative one. Obviously this result generalizes to any size Pascal matrix, and there is something so beautiful and natural about this result that it hardly needs a proof (see Call and Velleman [2] for a particularly elegant ...
Rita Aggarwala, Michael P. Lamoureux
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The equivalence of an invertible matrix to its transpose

Linear and Multilinear Algebra, 1980
Let A be an invertible n×n matrix defined over a field k, and let A′denote the transpose of A. The object of this paper is to prove the following result.
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The restarted shift-and-invert Krylov method for matrix functions

Numerical Linear Algebra with Applications, 2012
In this paper, the numerical evaluation of matrix functions expressed in partial fraction form is addressed. The shift-and-invert Krylov method is analyzed, with special attention to error estimates. Such estimates give insights into the selection of the shift parameter and lead to a simple and effective restart procedure.
I. Moret, POPOLIZIO, MARINA
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Algorithm 10: Inverting a Symmetrical Matrix in Place

Environment and Planning A: Economy and Space, 1980
Language Subroutine SYM is written in ANSI Fortran.
B Harris, Referee J Burdett
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Generalized inverses of an invertible infinite matrix

Linear and Multilinear Algebra, 2006
Recently, it was shown that, contrary to the case of finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore–Penrose inverse that is not a classical inverse of V. In this article, we show that V has infinitely many group inverses that are also Moore–Penrose inverses.
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A New Method for Inverting Fermionic Matrix

1986
The Alternate Directions Implicit method is generalized and used to compute quark propagators in quenched QCD. Preliminary results on the chiral properties of the theory and on the spectrum of hadrons agree with those obtained with other approaches.
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Inverting a Vandermonde matrix in minimum parallel time

Information Processing Letters, 1991
In this note, we address the problem of computing \(V^{-1}\), where \(V=(\lambda_ j^{i-1})_{ij}\) is a Vandermonde matrix and where the entries of \(V\) are elements of a field \(\mathcal F\). The computation model adopted is the arithmetic network, which is a synchronized interconnection of arithmetic modules, each capable of performing an arithmetic ...
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Program for Inverting a Gramian Matrix [PDF]

Educational and Psychological Measurement, 1961
Henry F. Kaiser, Kern Dickman
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Axis of Evil: An Inverted Threat Matrix

2008
President George W. Bush’s 2002 State of the Union Address greatly expanded the war on terror from a focus on al Qaeda and its Afghan Taliban hosts to three rogue states seeking dangerous weapons of mass destruction: Iraq, Iran, and North Korea. Bush labeled these countries “an axis of evil” that threatened world peace: “By seeking weapons of mass ...
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