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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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

  • EID of the result in the Scopus database