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This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors.
This book traces the life of Cholesky (1875-1918), and gives his family history. Then, an important unpublished book of Cholesky on graphical calculation is analyzed in detail and compared to similar contemporary publications. Various documents, highlighting the life and the personality of Cholesky, end the book.
This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.
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