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Digitale Medien

On the spectra of sums of orthogonal projections with applications to parallel computing (1991)

Bjørstad, Petter E. ; Mandel, Jan

Springer

BIT 31 (1991), S. 76-88

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Details

ISSN: 1572-9125

Schlagwort(e): 65N30 ; 65J10 ; 35J20 ; 15A18 ; Orthogonal Projections ; Parallel Computing ; Domain Decomposition ; Grid Refinement ; Schwarz Alternating Method

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract Many parallel iterative algorithms for solving symmetric, positive definite problems proceed by solving in each iteration, a number of independent systems on subspaces. The convergence of such methods is determined by the spectrum of the sums of orthogonal projections on those subspaces, while the convergence of a related sequential method is determined by the spectrum of the product of complementary projections. We study spectral properties of sums of orthogonal projections and in the case of two projections, characterize the spectrum of the sum completely in terms of the spectrum of the product.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01952785

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