Davis, Timothy A.; Duff, Iain S.; Nakov, Stojce Design and implementation of a parallel Markowitz threshold algorithm. (English) Zbl 1440.65041 SIAM J. Matrix Anal. Appl. 41, No. 2, 573-590 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F10 65F50 15A06 65Y05 PDF BibTeX XML Cite \textit{T. A. Davis} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 573--590 (2020; Zbl 1440.65041) Full Text: DOI OpenURL
Drummond, L. A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed Partitioning strategies for the block Cimmino algorithm. (English) Zbl 1360.65100 J. Eng. Math. 93, 21-39 (2015). MSC: 65F10 65F50 15A06 05C65 65Y05 PDF BibTeX XML Cite \textit{L. A. Drummond} et al., J. Eng. Math. 93, 21--39 (2015; Zbl 1360.65100) Full Text: DOI Link OpenURL
Amestoy, Patrick R.; Puglisi, Chiara An unsymmetrized multifrontal LU factorization. (English) Zbl 1017.65017 SIAM J. Matrix Anal. Appl. 24, No. 2, 553-569 (2002). MSC: 65F05 65F50 PDF BibTeX XML Cite \textit{P. R. Amestoy} and \textit{C. Puglisi}, SIAM J. Matrix Anal. Appl. 24, No. 2, 553--569 (2002; Zbl 1017.65017) Full Text: DOI OpenURL
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y. Multifrontal parallel distributed symmetric and unsymmetric solvers. (English) Zbl 0956.65017 Comput. Methods Appl. Mech. Eng. 184, No. 2-4, 501-520 (2000). Reviewer: Lubomír Bakule (Praha) MSC: 65F05 65Y05 65F50 PDF BibTeX XML Cite \textit{P. R. Amestoy} et al., Comput. Methods Appl. Mech. Eng. 184, No. 2--4, 501--520 (2000; Zbl 0956.65017) Full Text: DOI OpenURL
Stabrowski, Marek M. New design of pivoted banded linear equation solver versus CLAPACK library routines. (English) Zbl 0964.65028 J. Theor. Appl. Mech., Wars. 37, No. 4, 829-845 (1999). MSC: 65F05 65F50 PDF BibTeX XML Cite \textit{M. M. Stabrowski}, J. Theor. Appl. Mech., Wars. 37, No. 4, 829--845 (1999; Zbl 0964.65028) OpenURL
Bai, Zhong-Zhi; Nabben, Reinhard Some properties of the block matrices in the parallel decomposition-type relaxation methods. (English) Zbl 0931.65031 Appl. Numer. Math. 29, No. 2, 167-170 (1999). MSC: 65F10 65Y05 65F50 PDF BibTeX XML Cite \textit{Z.-Z. Bai} and \textit{R. Nabben}, Appl. Numer. Math. 29, No. 2, 167--170 (1999; Zbl 0931.65031) Full Text: DOI OpenURL
Coriand, Andrea 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) MSC: 65F50 65F05 65-02 15-04 65F10 65F35 PDF BibTeX XML Cite \textit{A. Coriand}, Verfahren für dünnbesetzte lineare Systeme. Köln: DLR, Deutsches Zentrum für Luft- und Raumfahrt (1997; Zbl 0897.65034) OpenURL
Gravvanis, G. A.; Lipitakis, E. A. A three-dimensional explicit preconditioned solver. (English) Zbl 0858.65037 Comput. Math. Appl. 32, No. 2, 111-131 (1996). MSC: 65F10 35J25 65N06 65F35 15-04 PDF BibTeX XML Cite \textit{G. A. Gravvanis} and \textit{E. A. Lipitakis}, Comput. Math. Appl. 32, No. 2, 111--131 (1996; Zbl 0858.65037) Full Text: DOI OpenURL
Duff, I. S.; Scott, J. A. The design of a new frontal code for solving sparse, unsymmetric systems. (English) Zbl 0884.65018 ACM Trans. Math. Softw. 22, No. 1, 30-45 (1996). MSC: 65F05 65F50 15-04 65Y20 PDF BibTeX XML Cite \textit{I. S. Duff} and \textit{J. A. Scott}, ACM Trans. Math. Softw. 22, No. 1, 30--45 (1996; Zbl 0884.65018) Full Text: DOI Link OpenURL
Lipitakis, E. A.; Gravvanis, G. A. Explicit preconditioned iterative methods for solving large unsymmetric finite element systems. (English) Zbl 0823.65033 Computing 54, No. 2, 167-183 (1995). Reviewer: J.Zítko (Praha) MSC: 65F10 65F35 65F50 65M60 35K15 PDF BibTeX XML Cite \textit{E. A. Lipitakis} and \textit{G. A. Gravvanis}, Computing 54, No. 2, 167--183 (1995; Zbl 0823.65033) Full Text: DOI OpenURL
Hadfield, Steven M.; Davis, Timothy A. The use of graph theory in a parallel multifrontal method for sequences of unsymmetric pattern sparse matrices. (English) Zbl 0904.05062 Congr. Numerantium 108, 43-52 (1995). MSC: 05C50 65F50 PDF BibTeX XML Cite \textit{S. M. Hadfield} and \textit{T. A. Davis}, Congr. Numerantium 108, 43--52 (1995; Zbl 0904.05062) OpenURL
Wagner, Christian 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). MSC: 65F10 65F50 65N06 65N50 35J25 PDF BibTeX XML Cite \textit{C. Wagner}, Frequenzfilternde Zerlegungen für unsymmetrische Matrizen und Matrizen mit stark variierenden Koeffizienten. Stuttgart: Univ. Stuttgart, Fakultät Mathematik (1995; Zbl 0883.65028) OpenURL
Lipitakis, Elias A. Solving nonlinear elliptic and parabolic difference equations by explicit preconditioned iterative methods based on sparse approximate inverses. (English) Zbl 0858.65090 Comput. Math. Appl. (Athens) 1, 99-118 (1994). MSC: 65M06 65N06 65F10 35K55 65F35 35J65 65H10 65N30 65M60 65Y05 PDF BibTeX XML Cite \textit{E. A. Lipitakis}, Comput. Math. Appl. (Athens) 1, 99--118 (1994; Zbl 0858.65090) OpenURL
Mitra, Gautam; Tamiz, Mehrdad Alternative methods for representing the inverse of linear programming basis matrices. (English) Zbl 0786.90041 Kumar, Santosh (ed.), Recent developments in mathematical programming. Philadelphia, PA: Gordon and Breach Science Publishers,. 273-301 (1991). MSC: 90C05 PDF BibTeX XML Cite \textit{G. Mitra} and \textit{M. Tamiz}, in: Recent developments in mathematical programming. Philadelphia, PA: Gordon and Breach Science Publishers. 273--301 (1991; Zbl 0786.90041) OpenURL
Evans, D. J.; Kammoonah, M. A. 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) MSC: 65F10 65F50 65F35 35J25 65N06 PDF BibTeX XML Cite \textit{D. J. Evans} and \textit{M. A. Kammoonah}, in: Preconditioning methods: Analysis and applications. New York: Gordon and Breach Science Publishers. 321--353 (1991; Zbl 0785.65024) OpenURL
Pini, G.; Zilli, G. On vectorizing the preconditioned generalized conjugate residual methods. (English) Zbl 0752.65027 Int. J. Comput. Math. 33, No. 3-4, 195-207 (1990). MSC: 65F10 65F50 65Y10 65N30 35J25 PDF BibTeX XML Cite \textit{G. Pini} and \textit{G. Zilli}, Int. J. Comput. Math. 33, No. 3--4, 195--207 (1990; Zbl 0752.65027) Full Text: DOI OpenURL
Lipitakis, Elias A. Numerical solution of three-dimensional boundary-value problems by generalized approximate inverse matrix techniques. (English) Zbl 0749.65021 Int. J. Comput. Math. 31, No. 1-2, 69-86 (1989). MSC: 65F05 65F10 65N22 65N06 PDF BibTeX XML Cite \textit{E. A. Lipitakis}, Int. J. Comput. Math. 31, No. 1--2, 69--86 (1989; Zbl 0749.65021) Full Text: DOI OpenURL
Pini, G.; Zilli, G. Preconditioned iterative algorithms for large sparse unsymmetric problems. (English) Zbl 0675.65019 Numer. Methods Partial Differ. Equations 5, No. 2, 107-120 (1989). Reviewer: J.Abaffy MSC: 65F10 65N30 65F50 35J25 PDF BibTeX XML Cite \textit{G. Pini} and \textit{G. Zilli}, Numer. Methods Partial Differ. Equations 5, No. 2, 107--120 (1989; Zbl 0675.65019) Full Text: DOI OpenURL
Duff, Iain S. 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). MSC: 65F05 65F30 65Y05 PDF BibTeX XML OpenURL
Makinson, G. J.; Shah, A. A. OAHM: A Fortran subroutine for solving a class of unsymmetric linear systems of equations. (English) Zbl 0607.65008 Commun. Appl. Numer. Methods 2, 499-508 (1986). MSC: 65F10 65N22 35J25 15-04 PDF BibTeX XML Cite \textit{G. J. Makinson} and \textit{A. A. Shah}, Commun. Appl. Numer. Methods 2, 499--508 (1986; Zbl 0607.65008) Full Text: DOI OpenURL
Duff, Iain S. Data structures, algorithms and software for sparse matrices. (English) Zbl 0548.65009 Sparsity and its applications, Meet. Loughborough/Engl. 1983, 1-29 (1984). MSC: 65F05 65F50 PDF BibTeX XML OpenURL
Duff, I. S. Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core. (English) Zbl 0541.65017 SIAM J. Sci. Stat. Comput. 5, 270-280 (1984). Reviewer: L.Bakule MSC: 65F05 65N22 65N30 65F50 35J25 PDF BibTeX XML Cite \textit{I. S. Duff}, SIAM J. Sci. Stat. Comput. 5, 270--280 (1984; Zbl 0541.65017) Full Text: DOI OpenURL
Lipitakis, E. A. Generalized extended to the limit sparse factorization techniques for solving unsymmetric finite element systems. (English) Zbl 0523.65019 Computing 32, 255-270 (1984). MSC: 65F05 65F10 65N22 65N30 35J25 35K20 PDF BibTeX XML Cite \textit{E. A. Lipitakis}, Computing 32, 255--270 (1984; Zbl 0523.65019) Full Text: DOI OpenURL
Kaufman, Linda 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). MSC: 65F10 65C99 60K20 PDF BibTeX XML OpenURL
Lipitakis, Elias A. 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 Math. Comput. Simulation 23, 285-292 (1981). MSC: 65N22 65F10 35J65 35K60 65H10 PDF BibTeX XML Cite \textit{E. A. Lipitakis}, Math. Comput. Simul. 23, 285--292 (1981; Zbl 0471.65071) Full Text: DOI OpenURL
Duff, Iain S. 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). MSC: 65F05 68N25 65F10 65K05 90C30 PDF BibTeX XML OpenURL
Evans, D. J.; Lipitakis, E. A. On sparse LU factorization procedures for the solution of parabolic differential equations in three space dimensions. (English) Zbl 0433.65060 Int. J. Comput. Math. 7, 315-338 (1979). MSC: 65N22 65F10 65F05 15A23 35K15 35K20 35K05 35J25 PDF BibTeX XML Cite \textit{D. J. Evans} and \textit{E. A. Lipitakis}, Int. J. Comput. Math. 7, 315--338 (1979; Zbl 0433.65060) Full Text: DOI OpenURL