Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. I. Transformations
Georg Heinig, Adam W. Bojańczyk · Linear Algebra and its Applications · 1997
Transformations of the form C are investigated that transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. C and C 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.