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### A class of incomplete orthogonal factorization methods. I: methods and theories

Abstract:

We study the solution of large sparse nonsingular and unsymmetric systems of linear equations. We present a class of incomplete orthogonal factorization methods based on Givens rotations. These methods include: Incomplete Givens Orthogonalization (IGO-method) and Generalized Incomplete Givens Orthogonalization (GIGO-method), which drop entries from the incomplete orthogonal and upper triangular factors by position; Threshold Incomplete Givens Orthogonalization (TIGO($\tau$)-method), which dro...

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### Authors

Publication date:
1999-08-05
URN:
uuid:1f20d6f2-764f-41c5-97ed-d4759999fd49
Local pid:
oai:eprints.maths.ox.ac.uk:1288