Results 191 to 200 of about 1,720,065 (227)

The Jacobi Matrix for Functions in Noncommutative Algebras

Advances in Applied Clifford Algebras, 2014
The authors develop a general tool for constructing the exact Jacobi matrix for functions defined in noncommutative algebraic systems without using any partial derivative. The construction is applied to solving nonlinear problems of the form \(f(x) = 0\) with the aid of Newton's method in algebras defined in \({\mathbb{R}^N}\).
Lauterbach, Reiner, Opfer, Gerhard
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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 \(X_{2},\) \(Y_{2}\in \mathbb{R}^{n-k}\)
Juan Peng, Xi-Yan Hu, Lei Zhang 0010
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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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Jacobi- und Hesse-Matrix

1995
Mit dem Konzept der partiellen Ableitung verknupft sind Jacobi- und Hesse-Matrix, sowie Divergenz, Rotation und Laplace-Operator. Hierfur stellt Maple entsprechende Befehle bereit, auf die wir jetzt eingehen.
Rüdiger Braun, Reinhold Meise
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Jacobi Operators and Orthonormal Matrix-Valued Polynomials. II

Ukrainian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hatamleh, R., Zolotarev, V. A.
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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.
Zhuan-De Wang, Chuan-Sheng Yang, Li Tan
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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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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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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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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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