The continued fraction methods for the solution of systems of linear equations
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A class of iterative methods is presented for the solution of systems of linear equationsAx=b, whereA is a generalm ×n matrix. The methods are based on a development as a continued fraction of the inner product (r, r), wherer=b-Ax is the residual. The methods as defined are quite general and include some wellknown methods such as the minimal residual conjugate gradient method with one step.
KeywordsLinear Equation Computational Mathematic Iterative Method Conjugate Gradient Gradient Method
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