Results 201 to 210 of about 5,897 (225)

Inverse Spectrum Problems for Block Jacobi Matrix

1993
A spectrum function for the block Jacobi matrix is defined which allows to determine conditions for existence and uniqueness for the corresponding inverse spectrum problem. Two numerical algorithms for solving the inverse spectrum problem are proposed and their behaviour is illustrated on several examples of order up to 15.
Zhu, Benren, Jackson, K. R., Chan, R. P. K.   +2 more
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A Jacobi-Type Method for Triangularizing an Arbitrary Matrix

SIAM Journal on Numerical Analysis, 1975
A Jacobi-type procedure for the triangularization of an arbitrary matrix A is described, and convergence of the procedure is proved.
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On the eigenvalues of an infinite Jacobi matrix

Philips Journal of Research, 1985
The eigenvalues \(\sigma_ 1,\sigma_ 2,..\). of the infinite Jacobi matrix \(V=D^{1/2} Q D^{1/2}\), where \(Q=(q_{ij})\), \(q_{ii}=1\), \(q_{i,i+1}=q_{i+1,i}=-1/2\), \(i=1,2,...\), \(q_{ij}=0\) else and \(D=diag(\alpha_ 1,\alpha_ 2,...),\) \(\alpha_ i=\beta^{i-1}\) are considered. It is shown that \(\beta^{k-1}
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An improved parallel Jacobi method for diagonalizing a symmetric matrix

Parallel Computing, 1987
A 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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Spectrum of a Jacobi matrix with exponentially growing matrix elements

Moscow University Mathematics Bulletin, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Freezing of the Jacobi matrix in the second order rosenbrock method

USSR Computational Mathematics and Mathematical Physics, 1987
See the review in Zbl 0641.65056.
Novikov, V. A., Novikov, E. A., Yumatova, L. A.   +2 more
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Parallel Jacobi algorithm for matrix diagonalisation on transputer networks

Parallel Computing, 1991
A 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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A Jacobi-based parallel algorithm for matrix inverse computations

2012 International Conference on Wireless Communications and Signal Processing (WCSP), 2012
In 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, Shuai Fang, Xi Yang, Zheng Li, Qin Guo, Bin Jiang   +5 more
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EXTENDED JACOBI MATRIX POLYNOMIALS

2013
In this paper, extended Jacobi matrix polynomials (EJMPs) are introduced. The matrix differential equation satisfied by them is given. A Rodrigues formula, orthogonality, linear generating matrix functions and recurrence relations are presented for these matrix polynomials. Furthermore, general families of multilinear and multilateral generating matrix
Cevik, Ali, ÇEKİM, BAYRAM, AKTAŞ, RABİA   +2 more
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Jacobi-Matrix: Grundlagen und Algorithmen

1994
Die 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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