Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438089" target="_blank" >RIV/00216208:11320/21:10438089 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Jz.m6WLokg" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Jz.m6WLokg</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2021.04.011" target="_blank" >10.1016/j.laa.2021.04.011</a>
Alternative languages
Result language
angličtina
Original language name
Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method
Original language description
We show constructively that, under certain regularity assumptions, any system of coupled linear differential equations with variable coefficients can be tridiagonalized by a time-dependent Lanczos-like method. The proof we present formally establishes the convergence of the so-called *-Lanczos algorithm and yields a full characterization of algorithmic breakdowns. From there, the solution of the original differential system is available in a finite and treatable number of scalar integral equations. This is a key piece in evaluating the elusive ordered exponential function both formally and numerically. (C) 2021 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Linear Algebra and Its Applications
ISSN
0024-3795
e-ISSN
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Volume of the periodical
624
Issue of the periodical within the volume
Září
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
153-173
UT code for WoS article
000648525400009
EID of the result in the Scopus database
2-s2.0-85104481722