Počet záznamů: 1
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications
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SYSNO ASEP 0482832 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications Tvůrce(i) Axelsson, Owe (UGN-S) RID Celkový počet autorů 1 Zdroj.dok. Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 62, č. 6 (2017), s. 537-559Poč.str. 23 s. Forma vydání Online - E Akce SNA´17 - Seminar on numerical analysis Datum konání 30.01.2017 - 03.02.2017 Místo konání Ostrava Země CZ - Česká republika Typ akce CST Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova preconditioning ; Schur complement ; transformation ; optimal control ; implicit time integration Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Institucionální podpora UGN-S - RVO:68145535 UT WOS 000419946700002 DOI 10.21136/AM.2017.0222-17 Anotace Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based on a transformation matrix with a perturbation of one of the given matrix blocks are presented. The first method involves an additional inner solution with the pivot matrix block but gives a very tight condition number bound when applied for a time integration method. The second method does not involve this matrix block but only inner solutions with a linear combination of the pivot block and the off-diagonal matrix blocks. Both the methods give small condition number bounds that hold uniformly in all parameters involved in the problem, i.e. are fully robust. The paper presents shorter proofs, extended and new results compared to earlier publications. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2018 Elektronická adresa http://articles.math.cas.cz/10.21136/AM.2017.0222-17/?type=F
Počet záznamů: 1