Asynchronous parallel methods for enclosing solutions of nonlinear equations

[1]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[2]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.

[3]  F. Robert.  Iterations chaotiques série-parallele pour des équations non lineaires de point fixe , 1974 .

[4]  J. C. Miellou,et al.  Algorithmes de relaxation chaotique à retards , 1975 .

[5]  Gérard M. Baudet,et al.  Asynchronous Iterative Methods for Multiprocessors , 1978, JACM.

[6]  Jarek Deminet.  Experience with Multiprocessor Algorithms , 1982, IEEE Transactions on Computers.

[7]  M. Tarazi.  Some convergence results for asynchronous algorithms , 1982 .

[8]  Michel Dubois,et al.  Performance of Synchronized Iterative Processes in Multiprocessor Systems , 1982, IEEE Transactions on Software Engineering.

[9]  David J. Evans,et al.  Parallel Algorithms for the Iterative Solution to Linear Systems , 1982, Comput. J..

[10]  Götz Alefeld,et al.  A QUADRATICALLY CONVERGENT KRAWCZYK-LIKE ALGORITHM* , 1983 .

[11]  G. Alefeld,et al.  Introduction to Interval Computation , 1983 .

[12]  Dimitri P. Bertsekas,et al.  Distributed asynchronous computation of fixed points , 1983, Math. Program..

[13]  Mouhamed Nabih Tarazi.  Algorithmes mixtes asynchrones. Etude de convergence monotone , 1984 .

[14]  David J. Evans,et al.  Parallel S.O.R. iterative methods , 1984, Parallel Comput..

[15]  Hartmut Schwandt,et al.  The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods , 1985 .

[16]  Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations , 1985 .

[17]  A. Neumaier,et al.  Interval Slopes for Rational Functions and Associated Centered Forms , 1985 .

[18]  H. Schwandt,et al.  Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations , 1987 .

[19]  Hartmut Schwandt,et al.  Interval arithmetic multistep methods for nonlinear systems of equations , 1987 .

[20]  G. Mayer.  Comparison theorems for iterative methods based on strong splittings , 1987 .

[21]  Kang Lishan,et al.  An asynchronous parallel mixed algorithm for linear and nonlinear equations , 1987 .

[22]  L. Elsner,et al.  Models of parallel chaotic iteration methods , 1988 .

[23]  Li Lei.  Convergence of asynchronous iteration with arbitrary splitting form , 1989 .

[24]  Michel Dubois,et al.  Sufficient conditions for the convergence of asynchronous iterations , 1989, Parallel Computing.

[25]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[26]  L. Elsner,et al.  On the convergence of asynchronous paracontractions with application to tomographic reconstruction from incomplete data , 1990 .

[27]  A. Frommer,et al.  On the R -order of Newton-like methods for enclosing solutions of nonlinear equations , 1990 .

[28]  Andreas Frommer,et al.  Lösung linearer Gleichungssysteme auf Parallelrechnern , 1990 .

[29]  D. E. Baz.  M -functions and parallel asynchronous algorithms , 1990 .

[30]  A. Neumaier.  Interval methods for systems of equations , 1990 .

[31]  A. Frommer.  Generalized nonlinear diagonal dominance and applications to asynchronous iterative methods , 1991 .

[32]  A. Frommer.  On asynchronous iterations in partially ordered spaces , 1991 .

[33]  Israel Koltracht,et al.  Convergence of sequential and asynchronous nonlinear paracontractions , 1992 .

[34]  R. D. Murphy,et al.  Iterative solution of nonlinear equations , 1994 .

[35]  D. Szyld,et al.  Asynchronous two-stage iterative methods , 1994 .

[36]  Günter Mayer,et al.  Epsilon-inflation in verification algorithms , 1995 .