Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365247" target="_blank" >RIV/00216208:11320/17:10365247 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.apm.2017.05.010" target="_blank" >http://dx.doi.org/10.1016/j.apm.2017.05.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2017.05.010" target="_blank" >10.1016/j.apm.2017.05.010</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces

Popis výsledku v původním jazyce

We are concerned with the so called formal solution of an interval system of linear equations. We focus on the case where the coefficient matrix is deterministic (real) and the right-hand side is an interval vector. We show that the set of formal solutions represents a convex polyhedral set. We propose new properties of the formal solution related to its existence, uniqueness and robustness. As particular classes of problems we investigate also the situation where the coefficient matrix is an M-matrix or H-matrix. Example problems related to the structures, such as 6-bar truss and a rectangular sheet, are solved to illustrate the computational aspects of the methods.

Název v anglickém jazyce

Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces

Popis výsledku anglicky

We are concerned with the so called formal solution of an interval system of linear equations. We focus on the case where the coefficient matrix is deterministic (real) and the right-hand side is an interval vector. We show that the set of formal solutions represents a convex polyhedral set. We propose new properties of the formal solution related to its existence, uniqueness and robustness. As particular classes of problems we investigate also the situation where the coefficient matrix is an M-matrix or H-matrix. Example problems related to the structures, such as 6-bar truss and a rectangular sheet, are solved to illustrate the computational aspects of the methods.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/GA13-10660S" target="_blank" >GA13-10660S: Intervalové metody pro optimalizační úlohy</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

—

Svazek periodika

50

Číslo periodika v rámci svazku

October

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

105-117

Kód UT WoS článku

000411534700007

EID výsledku v databázi Scopus

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