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Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners
development of the analysis of superlinear convergence of Krylov iterations when the preconditioned operator is a compact perturbation of the identity. Mesh independent superlinear convergence of GMRES and CGN
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Krylov improvements of the Uzawa method for Stokes type operator matrices
The paper is devoted to Krylov type modifications of the Uzawa method on the operator level for the Stokes problem in order to accelerate convergence. First block preconditioners and their effect on convergence are studied....
Applied mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Comparison of convergence of general stationary iterative methods for singular matrices
Comparison of convergence of general stationary iterative methods for singular matrices...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the maximum and antimaximum principles for the beam equation
We consider a one-dimensional beam equation with a strictly positive forcing term. Under different assumptions on the restoring force we prove the existence of positive and negative solutions, respectively. Our method is based on non-monotone but
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Iterative aggregation/disaggregation for computing some characteristics of Markov chains. II. Fast convergence.
A class of iterative aggregation/disaggregation methods for computation of some characteristics of Markov chain such as stationary probability vectors and mean first passage times is presented and convergence properties of the algor...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Circles in the spectrum and the geometry of orbits: a numerical ranges approach
convergence of operator powers implies the uniform convergence of their compressionsWe prove that a bounded linear Hilbert space operator has the unit circle in its essential approximate point spectrum if and only...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A note on local and global convergence analysis of iterative aggregation-disaggregation methods
The iterative aggregation – disaggregation method for computing stationary probability distribution vector of a discrete finite Markov chain is studied. A sufficient condition for the local convergence property and the corresp...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Necessary and sufficient local convergence condition of one class of iterative aggregation-disaggregation methods
The paper contributes to the convergence analsis of iterative two-level methods for numerical solution of Perron eigenvector of a stochastic matrix....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Convergence theory of some classes of iterative aggregation/disaggregation methods of stochastic matrices
The paper presents a convergence analysis of IAD algorithms based on fully general splittings of nonnegative type.
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Iterative Determination of Several Interior Eigenstates of Large Matrices: Application to the Determination of Light-induced Resonances in H 2 + .
improve the convergence and stability properties of the iterative processesand bringsPerturbative iterative methods for determination of several eigensolutions of large non-hermitian matrices are developed in framework of ...
CF - Fyzikální chemie a teoretická chemie
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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