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Titlebook: Numerical Analysis and Its Applications; First International Lubin Vulkov,Jerzy Waśniewski,Plamen Yalamov Conference proceedings 1997 Spri

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J. Brandt,J. Christensen,I. Dimov,K. Georgiev,I. Uria,Z. Zlatev
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Fast algorithms for problems on thermal tomography,e to use the Laplacian operator itself as preconditioner. This preconditioner can be inverted easily by fast sine-transforms and we prove that the resulting preconditioned system is well-conditioned and has clustered spectrum too. Hence the conjugate gradient method converges superlinearly for the p
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Iterative Monte Carlo algorithms for linear algebra problems,lgorithm convergence. The convergence of the iterative processes is proved and the convergence rate is compared with the rate of existing Monte Carlo algorithms for similar problems..An error analysis is done..Numerical experiments for Monte Carlo Almost Optimal (MAO) algorithms are performed on CRA
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Conference proceedings 1997, Bulgaria, in June 1996..The 57 revised full papers presented were carefully selected and reviewed for inclusion in the volume; also included are 14 invited presentations. All in all, the book offers a wealth of new results and methods of numerical analysis applicable in computational science, part
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Convergence in iterative polynomial root-finding,n, using any finite guess outside the cluster centroid. Equipped with countermeasures against rebounds caused by local clusters, the formula has never been found to fail for general polynomials, and with an initial guess based on zeros of a symmetric cluster, usually converge in a few iterations.
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0302-9743 ence, particularly in computational physics and chemistry. The volume reflects that the cooperation of computer scientists, mathematicians and scientists provides new numerical tools for computational scientists and, at the same time, stimulates numerical analysis.978-3-540-62598-8978-3-540-68326-1Series ISSN 0302-9743 Series E-ISSN 1611-3349
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