Results 171 to 180 of about 98,636 (202)

A matrix model for the β-Jacobi ensemble

Journal of Mathematical Physics, 2003
This note presents a random matrix model for general (β>0) β-Jacobi ensembles. This generalizes the well-known MANOVA models for β=1,2,4 and eliminates the quantization of β (and other parameters) present in the previously known models. This model is a partial answer to an open problem presented by Dumitriu and Edelman, where they also presented
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Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries

Functional Analysis and Its Applications, 2001
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Kostyuchenko, A. G., Mirzoev, K. A.
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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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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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Spectrum of a Jacobi matrix with exponentially growing matrix elements

Moscow University Mathematics Bulletin, 2011
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Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix

2010 International Conference on Machine Learning and Cybernetics, 2010
Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix for block p-cyclic case is obtained. The results in corresponding references are improved and perfected.
Wang Zhuan-De, Yang Chuan-Sheng, Tan Li
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A kind of inverse eigenvalue problems of Jacobi matrix

Applied Mathematics and Computation, 2006
The authors consider the problem of reconstructing two \(n\times n\) Jacobi matrices \(J_{n},\;J_{n}^{\ast }\) and vectors \(X_{1}\), \(Y_{1}\in \mathbb{R}^{k}\) such that for a given \(k\times k\) Jacobi matrix \(J_{k}\) where \( \left( 1\leq k\leq n-1\right) \), real scalars \(S,\; \lambda,\; \mu \) and vectors \(X_{2},\) \(Y_{2}\in \mathbb{R}^{n-k}\)
Peng, Juan, Hu, Xi-Yan, Zhang, Lei
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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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Jacobi Block Matrices with Constant Matrix Terms

2004
We investigate a solution of the difference equation $$tU_n^{A,B}(t) = AU_{n + 1}^{A,B}(t) + BU_n^{A,B}(t) + AU_{n - 1}^{A,B}(t)$$ with the boundary conditions U 0 A,B , where A, B are hermitian matrices. U n A,B , are usually called matrix Chebyshev polynomials of the second kind. The above equation cannot be easily simplified as in scalar case
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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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