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Spectrum of a Jacobi matrix with exponentially growing matrix elements
Moscow University Mathematics Bulletin, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parallel Jacobi algorithm for matrix diagonalisation on transputer networks
Parallel Computing, 1991A Jacobi type parallel algorithm for the diagonalization of a real symmetric matrix is presented and analyzed in detail for the execution on a network of transputers. The maximal efficiency is limited by 2/3 because the parallel algorithm necessitates a shuffling of slices of matrices between the processors.
P. Tervola, W. Yeung
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An improved parallel Jacobi method for diagonalizing a symmetric matrix
Parallel Computing, 1987A parallel variant of the Jacobi algorithm for the computation of eigenvalues of a symmetric matrix is described. It involves a simplified search for a large pivot element, and is faster than both the classical (maximum pivot) and cyclical variants. Still it is not in any case faster than the QR method, so as the authors rightly state, it is mainly of ...
Alan H. Karp, John Greenstadt
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A Jacobi-based parallel algorithm for matrix inverse computations
2012 International Conference on Wireless Communications and Signal Processing (WCSP), 2012In this paper we propose a faster variation of one-sided Jacobi algorithm. We bring the idea of Fast-Givens rotation and utilize it in Jacobi algorithm to generate a so-called Fast-onesided Jacobi algorithm, which can be utilized to calculate matrix inverse in parallel environment in a faster speed without losing any precision.
Tian Zhou 0005 +5 more
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Jacobi-Matrix: Grundlagen und Algorithmen
1994Die Steuerung von Roboterarmen basiert auf zwei Transformationen, die kinematisch vom Gelenkraum in den kartesischen Raum und umgekehrt vermitteln. Dies sind die Hintransformation \(\overrightarrow {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}\to {\Lambda } } \) bzw.
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Jacobi Matrix Differential Equation, Polynomial Solutions, and Their Properties
Computers and Mathematics With Applications, 2004Lucas Jódar, E Defez
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Matrix Valued Orthogonal Polynomials of the Jacobi Type
Indagationes Mathematicae, 2003J Tirao, I Pacharoni
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An Inverse Eigenvalue Problem for Pseudo-Jacobi Matrices
Applied Mathematics and Computation, 2019Wei-Ru Xu +2 more
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