A Galerkin Approach for Solving Matrix Equations with Hierarchical Matrices.

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Boysen, Dirk and Börm, Steffen (2013) A Galerkin Approach for Solving Matrix Equations with Hierarchical Matrices. PAMM, 13 (1). pp. 405-406. DOI 10.1002/pamm.201310198.

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Abstract

We consider a new approach for computing solutions of certain matrix equations, for example AXA = C, AX + XB = C
or AX = I. This approach is based on a variational formulation in the matrix space, employing the Frobenius inner product.
Using the space of H2
-matrices as trial space leads to a sparse linear system that can be solved by iterative methods to compute
an approximate solution of the underlying matrix equation.

Document Type: Article
Research affiliation: Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
Kiel University
Refereed: Yes
Open Access Journal?: Yes
Publisher: American Medical Association
Projects: Future Ocean
Date Deposited: 31 Jan 2018 13:16
Last Modified: 23 Sep 2019 16:50
URI: https://oceanrep.geomar.de/id/eprint/41778

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