Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00397048" target="_blank" >RIV/68145535:_____/13:00397048 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-1-4614-7172-1_3" target="_blank" >http://link.springer.com/chapter/10.1007/978-1-4614-7172-1_3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-1-4614-7172-1_3" target="_blank" >10.1007/978-1-4614-7172-1_3</a>
Alternative languages
Result language
angličtina
Original language name
Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I
Original language description
Matrices of two-by-two block form with matrix blocks of equal order arise in various important applications, such as when solving complex-valued systems in real arithmetics, in linearized forms of the Cahn?Hilliard diffusive phase-field differential equation model and in constrained partial differential equations with distributed control. It is shown how an efficient preconditioner can be constructed which, under certain conditions, has a resulting spectral condition number of about 2. The preconditioner avoids the use of Schur complement matrices and needs only solutions with matrices that are linear combinations of the matrices appearing in each block row of the given matrix and for which often efficient preconditioners are already available.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
ISSN
2194-1009
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
45
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
45-67
UT code for WoS article
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EID of the result in the Scopus database
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