Record details

Title
    Response to Comment on Preconditioning of matrices partitioned in 2 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM
Author
    Axelsson, Owe
    Blaheta, Radim
Language
    anglicky
Publication type
    článek v odborném periodiku
Source title - serial
    Numerical Linear Algebra with Applications
Vol./nr.
    Roč. 20, č. 3
Pages
    s. 536-539
Year
    2013
Notes
    Autoři celkem: 2
    Rozsah: 4 s. : E
Subject category
    inverses
    preconditioning
    saddle point matrices
Keyword
    Block
    Comment
    DD
    Eigenvalue
    Estimates
    FEM
    Form
    Matrices
    Mixed
    Partitioned
    Preconditioning
    Response
    Schwarz
Abstract (in english)
   As has been pointed out in a study by Cao, there is an erroneous omission in the study by Axelsson, Corollary 3.2 and Proposition 3.2, and the authors thank Zhi-hao Cao for pointing this out. We mention, however, that these are side results and do not influence the major result of the paper 'Preconditioning of matrices partitioned in 2 by 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM'. In this reply, we give a short background to the relations between inverses of saddle point matrices, thereby providing justified references to previous publications of the topic and present a corrected and extended version of Proposition 3.2. This gives an alternative presentation of the statements in the study by Cao, which might be useful for readers.
Contributor
    AV ČR Brno, Ústav geoniky
Contributor code
    AV ČR, ÚG
Source format
    U
Import date
    24. 10. 2014