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Influence Of Jacobi Matrix Conditionality On Stability Of Mutlibody Simulations
The danger of multibody simulations instability comes with increasing model complexity. Jacobi matrix conditionality has direct influence on computation quality. The aim of this report is to refer to possibilities of simulation kont...
JC - Počítačový hardware a software
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the eigenvalue problem for a particular class of finite Jacobi matrices
of the function F is given for the determinant of a Jacobi matrix. Further we focus on the particular class of Jacobi matrices of odd dimension whose parallels to the diagonal. A special basis is constructed in which the <...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Factorization of the characteristic function of a Jacobi matrix
In a recent paper a class of in nite Jacobi matrices with discrete character of spectra has been introduced. With each Jacobi matrix from this class an analytic function is associated, called the characteristic function, wh...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On Hankel matrices commuting with Jacobi matrices from the Askey scheme
A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from Hilbert matrix is the only prominent infinite-rank Hankel matrix which...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The Characteristic Function for Complex Doubly Infinite Jacobi Matrices
. For each Jacobi matrix belonging to this class, an analytic function, calledWe introduce a class of doubly infinite complex Jacobi matrices determined of the corresponding Jacobi operator restricted to a suitable...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Infinite Products for Regularized Characteristic Function of Jacobi Operator
}$, the characteristic function is defined for a Jacobi matrix from a certain class. Similarly with eigenvalues of the respective Jacobi operator. Further, I restrict myself on a more special subclass of investigated Ja...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme
description of the commutant of a Jacobi matrix. Second, we deduce a necessary and sufficient condition for a weighted Hankel matrix commuting with a Jacobi matrix are found in the commutant of Jacobi...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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On computing quadrature-based bounds for the A-norm of the error in conjugate gradients
the (1,1)-entry of the inverse of the corresponding Jacobi matrix (or its rank-one the entries of the Jacobi matrix and its modifications from the CG coefficients. In this paper, we use the fact that CG computes t...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The Characteristic Function for a Particular Class of Infinite Jacobi Matrices
with a property that zeros of this function coincide with eigenvaluesof the Jacobi matrixSpectral properties of semi-infinite symmetric Jacobi matrices with diagonal created by a real and strictly increasing sequence such ...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The Algebraic Riccati Equation for Quaternions.
We will present the general solution of the algebraic Riccati equation for the quaternionic case, where also one additional variation is treated. For computational purpose a very simple form of the exact Jacobi matrix for Riccati po...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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