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In this paper, we propose a generalized conjugate residual squared algorithm based on products of two nearby biconjugate residual (BiCR) polynomials and formal orthogonal polynomials for solving nonsymmetric linear systems. Finally, numerical experiments show that new method is more effective than the originals.
Recently the conjugate residual squared (CRS) method has been proposed as an attractive variant of the bi-conjugate residual method. However, in many situations, the CRS algorithm exhibits an irregular convergence behavior. To overcome the disadvantage, we apply a smoothing technique to the CRS algorithm and derived the smoothed CRS algorithm. Numerical experiments indicate that the new method give...
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