
Record details
Title    Preconditioners for Some Matrices of TwobyTwo Block Form, with Applications, I

 Author   Language    anglicky

 Publication type    článek v odborném periodiku

 Source title  serial   Vol./nr.    Roč. 45, č. 45

 Pages    s. 4567

 Year    2013

 Notes    Autoři celkem: 1

  Projekt: ED1.1.00/02.0070, GA MŠk3cav_un_auth*0285288

  Rozsah: 23 s. : E

 Subject category   Keyword   Abstract (in english)    Matrices of twobytwo block form with matrix blocks of equal order arise in various important applications, such as when solving complexvalued systems in real arithmetics, in linearized forms of the CahnHilliard diffusive phasefield 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.


 Contributor    AV ČR Brno, Ústav geoniky

 Contributor code    AV ČR, ÚG

 Source format    U

 Import date    24. 10. 2014 

