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A new class of decomposition for inverting asymmetric and indefinite matrices. (English) Zbl 0776.65021
A decomposition for inverting a nonsingular matrix is presented. The non- singularity of the matrix will be used explicitly. The technique can easily be transformed into parallel procedures. Some computer results with a system of order (256,256) are reported.

MSC:
 65F05 Direct numerical methods for linear systems and matrix inversion
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References:
 [1] Luo, J.-C., A new class of decomposition for symmetric systems, Mechanics research communications, 19, 3, (1992) [2] J.-C. Luo, An incomplete inverse as a preconditioner for the conjugate gradient method, Computers $$E$$ Mathematics with Applications (to appear). [3] Luo, J.-C., A note on parallel processing, Applied mathematics letters, 5, 2, 75-78, (1992) · Zbl 0743.65023
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