Found 76 Documents (Results 1–76)
Design and implementation of a parallel Markowitz threshold algorithm. (English) Zbl 1440.65041
Reviewer: Nikolay Kyurkchiev (Plovdiv)
Sparse direct solution on parallel computers. (English) Zbl 1478.65032
Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 4th international conference, NAO-IV, Muscat, Oman, January 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 235, 67-98 (2018).
Reviewer: T. C. Mohan (Chennai)
Incomplete minimum joint backward perturbation methods for large unsymmetric linear systems. (Chinese. English summary) Zbl 1374.65045
A backward stability analysis of diagonal pivoting methods for solving unsymmetric tridiagonal systems without interchanges. (English) Zbl 1249.65057
Scaling, preconditioning, and superlinear convergence in GMRES-type iterations. (English) Zbl 1215.65059
Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 273-295 (2010).
An efficient out-of-core multifrontal solver for large-scale unsymmetric element problems. (English) Zbl 1183.65149
Additive and multiplicative two-level spectral preconditioning for general linear systems. (English) Zbl 1145.65023
A two-level sparse approximate inverse preconditioner for unsymmetric matrices. (English) Zbl 1090.65049
Ordering techniques for singly bordered block diagonal forms for unsymmetric parallel sparse direct solvers. (English) Zbl 1164.65336
Reviewer: Jan Chleboun (Praha)
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. (English) Zbl 1072.65036
Iterative Krylov methods for large linear systems. (English) Zbl 1023.65027
Cambridge Monographs on Applied and Computational Mathematics. 13. Cambridge: Cambridge University Press. xiii, 221 p. (2003).
Reviewer: Dietrich Braess (Bochum)
Recent advances in direct methods for solving unsymmetric sparse systems of linear equations. (English) Zbl 1072.65039
Factorized-sparse-approximate-inverse preconditionings of linear systems with unsymmetric matrices. (English. Russian original) Zbl 1071.65066
J. Math. Sci., New York 121, No. 4, 2448-2457 (2004); translation from Zap. Nauchn. Semin. POMI 284, 18-35 (2002).
Solving unsymmetric sparse systems of linear equations with PARDISO. (English) Zbl 1062.65035
Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 2. Berlin: Springer (ISBN 3-540-43593-X). Lect. Notes Comput. Sci. 2330, 355-363 (2002).
Improved symbolic and numerical factorization algorithms for unsymmetric sparse matrices. (English) Zbl 1021.65014
Reviewer: Liu Xinguo (Qingdao)
Reversing the row order for the row-by-row frontal method. (English) Zbl 1051.65022
Reviewer: Jan Chleboun (Praha)
Multifrontal parallel distributed symmetric and unsymmetric solvers. (English) Zbl 0956.65017
Reviewer: Lubomír Bakule (Praha)
New design of pivoted banded linear equation solver versus CLAPACK library routines. (English) Zbl 0964.65028
An asynchronous parallel supernodal algorithm for sparse Gaussian elimination. (English) Zbl 0939.65036
Reviewer: W.Schönauer (Karlsruhe)
Some properties of the block matrices in the parallel decomposition-type relaxation methods. (English) Zbl 0931.65031
New method of pivoting in the block solvers for large banded linear equation systems. (English) Zbl 0932.65031
Methods for sparse linear systems. (Verfahren für dünnbesetzte lineare Systeme.) (German) Zbl 0897.65034
DLR Forschungsbericht. 97-31. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt, 162 S. (1997).
Reviewer: M.Jung (Chemnitz)
Deflated and augmented Krylov subspace techniques. (English) Zbl 0889.65028
Reviewer: M.Tůma (Praha)
A block solver for large, unsymmetric, sparse, banded matrices with symmetric profiles. (English) Zbl 0893.65014
Reviewer: Xie Shenquan (Xiangtan)
An approximate minimum degree ordering algorithm. (English) Zbl 0861.65021
Reviewer: H.Hollatz (Magdeburg)
Frontal software for the solution of sparse linear equations. (English) Zbl 0886.65026
Waśniewski, Jerzy (ed.) et al., Applied parallel computing: industrial computation and optimization. Third international workshop, PARA ’96, Lyngby, Denmark, August 18–21, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1184, 227-238 (1996).
The design of MA48: A code for the direct solution of sparse unsymmetric linear systems of equations. (English) Zbl 0884.65019
Parallel preconditioning for CFD problems on the CM-5. (English) Zbl 0868.76078
Ecer, A. (ed.) et al., Parallel computational fluid dynamics: new trends and advances. Proceedings of the parallel CFD ’93 conference, Paris, France, May 10-12, 1993. Amsterdam: North-Holland. 401-410 (1995).
A new family of preconditioned iterative solvers for nonsymmetric linear systems. (English) Zbl 0855.65024
Reviewer: A.Swift (Palmerston North)
An approach for parallelizing any general unsymmetric sparse matrix algorithm. (English) Zbl 0836.65034
Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 413-417 (1995).
Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. (English) Zbl 0823.65033
Reviewer: J.Zítko (Praha)
The use of graph theory in a parallel multifrontal method for sequences of unsymmetric pattern sparse matrices. (English) Zbl 0904.05062
Frequency filtering decompositions for unsymmetric matrices and matrices with strongly varying coefficients. (Frequenzfilternde Zerlegungen für unsymmetrische Matrizen und Matrizen mit stark variierenden Koeffizienten.) (German) Zbl 0883.65028
Stuttgart: Univ. Stuttgart, Fakultät Mathematik, 233 p. (1995).
Solving nonlinear elliptic and parabolic difference equations by explicit preconditioned iterative methods based on sparse approximate inverses. (English) Zbl 0858.65090
Potential and achievable parallelism in the unsymmetric-pattern multifrontal LU factorization method for sparse matrices. (English) Zbl 0820.65013
Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 387-391 (1994).
An implementation of the QMR method based on coupled two-term recurrences. (English) Zbl 0803.65036
Reviewer: C.He (Chemnitz)
Exploiting structural symmetry in a sparse partial pivoting code. (English) Zbl 0771.65013
Reviewer: F.Szidarovszky (Tucson)
Elimination structures for unsymmetric sparse \(LU\) factors. (English) Zbl 0769.65010
Reviewer: L.Berg (Rostock)
Exploiting structural symmetry in unsymmetric sparse symbolic factorization. (English) Zbl 0746.65023
Reviewer: T.C.Mohan (Madras)
The preconditioned Chebyshev iterative method for unsymmetric linear systems of equations. (English) Zbl 0785.65024
Preconditioning methods. Analysis and applications, Top. Comput. Math. 1, 321-353 (1991).
Reviewer: J.R.Kuttler (Laurel)
An algorithm for solving linear system of equations having a sparse diagonal coefficient matrix. (English) Zbl 0718.65023
Techniques in applied mathematics and applications. 65th birthday celebration of S. C. Dasgupta, Proc. Semin., Howrah/India 1988, 249-254 (1990).
Reviewer: J.Albrycht (Poznań)
Domains of divergence of the USSOR method applied on p-cyclic matrices. (English) Zbl 0702.65030
Reviewer: A.de Castro
Numerical solution of three-dimensional boundary-value problems by generalized approximate inverse matrix techniques. (English) Zbl 0749.65021
Parallel pivoting combined with parallel reduction and fill-in control. (English) Zbl 0678.65016
Reviewer: M.Vajteršic
Preconditioned iterative algorithms for large sparse unsymmetric problems. (English) Zbl 0675.65019
Reviewer: J.Abaffy
Two conjugate-gradient-type methods for unsymmetric linear equations. (English) Zbl 0652.65022
Reviewer: P.Polcar
The method UNSYMMLQ for solving large unsymmetric linear systems. (Chinese. English summary) Zbl 0636.65027
Evaluation of orderings for unsymmetric sparse matrices. (English) Zbl 0635.65025
Reviewer: Myron Sussman
The use of vector and parallel computers in the solution of large sparse linear equations. (English) Zbl 0617.65021
Large scale scientific computing, Proc. Meet., Oberwolfach/FRG 1985, Prog. Sci. Comput. 7, 331-348 (1987).
A block equation solver for large unsymmetric linear equation systems with dense coefficient matrices. (English) Zbl 0612.65014
OAHM: A Fortran subroutine for solving a class of unsymmetric linear systems of equations. (English) Zbl 0607.65008
The multifrontal solution of unsymmetric sets of linear equations. (English) Zbl 0557.65017
Reviewer: R.P.Tewarson
Direct methods for solving sparse systems of linear equations. (English) Zbl 0557.65016
Reviewer: R.P.Tewarson
The solution of nearly symmetric sparse linear equations. (English) Zbl 0557.65015
Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 57-74 (1984).
Reviewer: R.P.Tewarson
Data structures, algorithms and software for sparse matrices. (English) Zbl 0548.65009
Sparsity and its applications, Meet. Loughborough/Engl. 1983, 1-29 (1984).
Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. (English) Zbl 0541.65017
Reviewer: L.Bakule
Generalized extended to the limit sparse factorization techniques for solving unsymmetric finite element systems. (English) Zbl 0523.65019
Block direct method for the solution of large unsymmetric systems of linear equations. (Chinese. English summary) Zbl 0572.65011
Solving large sparse linear systems arising in queuing problems. (English) Zbl 0489.65024
Numerical integration of differential equations and large linear systems, Proc. Workshops, Bielefeld 1980, Lect. Notes Math. 968, 352-360 (1982).
The design and use of a frontal scheme for solving sparse unsymmetric equations. (English) Zbl 0473.65009
Numerical analysis, Proc. 3rd IIMAS Workshop, Cocoyoc/Mex. 1981, Lect. Notes Math. 909, 240-247 (1982).
MSC:
65F05
The use of the generalized extended to the limit sparse factorization techniques for the solution of non-linear elliptic and parabolic difference equations. (English) Zbl 0471.65071
Recent developments in the solution of large sparse linear equations. (English) Zbl 0438.65032
Computing methods in applied sciences and engineering, Proc. 4th int. Symp., Versailles 1979, 407-426 (1980).
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