Record details

    Response to Comment on Preconditioning of matrices partitioned in 2 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM
    Axelsson, Owe
    Blaheta, Radim
Publication type
    článek v odborném periodiku
Source title - serial
    Numerical Linear Algebra with Applications
    Roč. 20, č. 3
    s. 536-539
    Autoři celkem: 2
    Rozsah: 4 s. : E
Subject category
    saddle point matrices
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.
    AV ČR Brno, Ústav geoniky
Contributor code
    AV ČR, ÚG
Source format
Import date
    24. 10. 2014