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83 821 (0,178s) •

Result

Any Admissible Harmonic Ritz Value Set is Possible for GMRES

It is known that the harmonic Ritz values are the zeros of the GMRES residual is possible with any prescribed finite harmonic Ritz values in every iteration of the GMRES process. In addition, we characterize the ad...

Applied mathematics

  • 2017
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  • Jimp
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  • Link
Result

Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES

We show that arbitrary convergence behavior of Ritz values is possible in the Arnoldi method, and we give two parametrizations of the class of matrices with initial Arnoldi vectors that generate prescribed Ritz values

BA - Obecná matematika

  • 2012
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  • Jx
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  • Link
Result

F-Transform Inspired Weak Solution to a Boundary Value Problem

A novel approach to the methodology of solving the two-point boundary value problem is proposed. It is based on the inverse F-transform representation, which we used in the framework of the Ritz-Galerkin technique. This paper is a s...

Pure mathematics

  • 2020
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  • Jimp
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  • Link
Result

On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES

The paper gives a characterization of all linear systems such that when restarted GMRES is applied, prescribed admissible residual norms and (harmonic) Ritz values for all iterations inside the individual cycles are generated. Addit...

Applied mathematics

  • 2020
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  • Jimp
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  • Link
Result

Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG

, mu can be chosen, e.g., as the smallest Ritz value or its approximation. We also, which allows to estimate the smallest and largest Ritz values during the CG computations. An improvement of the accuracy of these ...

Applied mathematics

  • 2019
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  • Jimp
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  • Link
Result

Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions

The aim of this paper is to propose a new methodology in the construction of spaces of test functions used in a weak formulation of the Boundary Value Problem. The proposed construction is based on the so called ``two dimensional'' approach ...

Pure mathematics

  • 2020
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  • Jimp
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  • Link
Result

Development of Formulas in Application of the Ritz metod to Composite Plate Buckling

The Ritz method and application to composite plates including the development of formulas for numerical calculation of buckling is described in the article. Numerical results are presented for three particular composite plates with different...

JV - Kosmické technologie

  • 2008
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  • Jx
Result

Forward and inverse problems for surface acoustic waves in anisotropic media: A Ritz-Rayleigh method based approach

We show that the Ritz-Rayleigh method can be used for calculation of velocity of surface acoustic waves (SAWs) propagating in a general direction of an anisotropic medium of arbitrary symmetry class....

BI - Akustika a kmity

  • 2015
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  • Jx
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  • Link
Result

Francis Scott Fitzgerald: The diamond as big as the Ritz

This paper deals with the selection of samples with a detailed commentary on the work.

AM - Pedagogika a školství

  • 2013
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  • A
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  • Link
Result

Generalized Fuzzy Partition in Galerkin Method for the Boundary Valued Problem

This paper introduces a novel construction of test spaces in the Ritz-Galerkin method. These spaces are established on the basis of linear spaces of functions that are linear combination of polynomials and fuzzy sets of a generalized uniform...

Applied mathematics

  • 2019
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  • D
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  • Link
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