Abstract
AbstractWe use the preconditioned conjugate gradient (PCG) method to analyze the symmetric positive‐definite Toeplitz systems. Then we present a new embedding constructing preconditioner way and prove that many other ways of constructing preconditioners are generally the special cases of this method. We propose the w‐circulant boundary condition and make comparison with both the ordinary circulant boundary condition and helix one. Furthermore, we obtain a new type of boundary condition: the mixed boundary condition.
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