Accelerate overrelaxation methods for rank deficient linear systems (Q1406272)

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scientific article; zbMATH DE number 1978098
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Accelerate overrelaxation methods for rank deficient linear systems
scientific article; zbMATH DE number 1978098

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    Accelerate overrelaxation methods for rank deficient linear systems (English)
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    9 September 2003
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    Accelerated overrelaxation methods are applied to find the least squares solution of minimal norm to linear systems of algebraic equations. The system is first augmented to a block \(4\times 4\) consistent system and then the augmented coefficient matrix is splitted. Intervals are given for the two relaxation parameters where the iteration matrix is semiconvergent, and a method is introduced to compute the least square solution with minimal norm.
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    accelerated overrelaxation splitting
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    least squares solution of minimal norm
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