A Lanczos-like method for non-autonomous linear ordinary differential equations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A Lanczos-like method for non-autonomous linear ordinary differential equations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A Lanczos-like method for non-autonomous linear ordinary differential equations

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Bolletino dell Unione Matematica Italiana

ISSN

1972-6724

e-ISSN

—

Svazek periodika

16

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

22

Strana od-do

81-102

Kód UT WoS článku

000815569800002

EID výsledku v databázi Scopus

2-s2.0-85132824228