Geodesic
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators
Applications of Mathematics, Tome 50 (2005) no. 3, pp. 277-290.

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A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.
DOI : 10.1007/s10492-005-0017-z
Classification : 65F10, 65N22
Keywords: conjugate gradient method; superlinear convergence; mesh independence; preconditioning operator 
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Karátson, János. Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Applications of Mathematics, Tome 50 (2005) no. 3, pp. 277-290. doi : 10.1007/s10492-005-0017-z. http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0017-z/

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