Transformation Techniques for Toeplitz and Toeplitz-plus-Hankel Matrices. I. Transformations
نویسندگان
چکیده
Transformations of the form A + E’FAg2 are investigated that transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. ‘Zi and @a are matrices related to the discrete Fourier transformation or to various real trigonometric transformations. Combining these results with pivoting techniques, in paper II algorithms for Toeplitz and Toeplitz-plus-Hankel systems will be presented that are more stable than classical algorithms. 0 Elsevier Science Inc., 1997
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Transformation Techniques for Toeplitz and Toeplitz-plus-hankel Matrices Part I. Transformations
Transformations of the form A ! C 1 AC 2 are investigated that transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. C 1 and C 2 are matrices related to the discrete Fourier transformation or to various real trigonometric transformations. Combining these results with pivoting techniques,in part II algorithmsfor Toeplitz and Toeplitz-plus-Hankel systems will be p...
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