A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365649" target="_blank" >RIV/00216208:11320/17:10365649 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10543-017-0679-4" target="_blank" >http://dx.doi.org/10.1007/s10543-017-0679-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10543-017-0679-4" target="_blank" >10.1007/s10543-017-0679-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies

Popis výsledku v původním jazyce

We propose a new approach to computing a parametric solution (the so-called p-solution) to parametric interval linear systems. Solving such system is an important part of many scientific and engineering problems involving uncertainties. The parametric solution has many useful properties. It permits to compute an outer solution, an inner estimate of the interval hull solution, and intervals containing the lower and upper bounds of the interval hull solution. It can also be employed for solving various constrained optimisation problems related to the parametric interval linear system. The proposed approach improves both outer and inner bounds for the parametric solution set. In this respect, the new approach is competitive to most of the existing methods for solving parametric interval linear systems. Improved bounds on the parametric solution set guarantees improved bounds for the solutions of related optimisation problems.

Název v anglickém jazyce

A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies

Popis výsledku anglicky

We propose a new approach to computing a parametric solution (the so-called p-solution) to parametric interval linear systems. Solving such system is an important part of many scientific and engineering problems involving uncertainties. The parametric solution has many useful properties. It permits to compute an outer solution, an inner estimate of the interval hull solution, and intervals containing the lower and upper bounds of the interval hull solution. It can also be employed for solving various constrained optimisation problems related to the parametric interval linear system. The proposed approach improves both outer and inner bounds for the parametric solution set. In this respect, the new approach is competitive to most of the existing methods for solving parametric interval linear systems. Improved bounds on the parametric solution set guarantees improved bounds for the solutions of related optimisation problems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

50201 - Economic Theory

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

BIT Numerical Mathematics

ISSN

0006-3835

e-ISSN

—

Svazek periodika

57

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

28

Strana od-do

1109-1136

Kód UT WoS článku

000415733300008

EID výsledku v databázi Scopus

—