A Lanczos-like method for non-autonomous linear ordinary differential equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10455396" target="_blank" >RIV/00216208:11320/22:10455396 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xWw.FbuBaR" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xWw.FbuBaR</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40574-022-00328-6" target="_blank" >10.1007/s40574-022-00328-6</a>
Alternative languages
Result language
angličtina
Original language name
A Lanczos-like method for non-autonomous linear ordinary differential equations
Original language description
The time-ordered exponential is defined as the function that solves a system of coupled first-order linear differential equations with generally non-constant coefficients. In spite of being at the heart of much system dynamics, control theory, and model reduction problems, the time-ordered exponential function remains elusively difficult to evaluate. The ASTERISK OPERATOR -Lanczos algorithm is a (symbolic) algorithm capable of evaluating it by producing a tridiagonalization of the original differential system. In this paper, we explain how the ASTERISK OPERATOR -Lanczos algorithm is built from a generalization of Krylov subspaces, and we prove crucial properties, such as the matching moment property. A strategy for its numerical implementation is also outlined and will be subject of future investigation.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bolletino dell Unione Matematica Italiana
ISSN
1972-6724
e-ISSN
—
Volume of the periodical
16
Issue of the periodical within the volume
1
Country of publishing house
IT - ITALY
Number of pages
22
Pages from-to
81-102
UT code for WoS article
000815569800002
EID of the result in the Scopus database
2-s2.0-85132824228