메뉴 건너뛰기




Volumn 5704 LNCS, Issue , 2009, Pages 797-808

PSPIKE: A parallel hybrid sparse linear system solver

Author keywords

Direct solvers; Hybrid solvers; Krylov subspace methods; Sparse linear systems

Indexed keywords

COMPUTATIONAL COSTS; DIRECT METHOD; DIRECT SOLVERS; EXPERIMENTAL STUDIES; HYBRID SOLVERS; ITERATIVE SOLVERS; KRYLOV METHOD; KRYLOV SUBSPACE METHOD; KRYLOV SUBSPACE METHODS; LARGE-SCALE COMPUTING; MEMORY REQUIREMENTS; MULTI-CORE PROCESSOR; PARALLEL PERFORMANCE; PARALLEL SCALABILITY; PARALLEL SOLVER; SPARSE LINEAR SYSTEMS; SPARSE SOLVERS;

EID: 70350637491     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-03869-3_74     Document Type: Conference Paper
Times cited : (34)

References (24)
  • 2
    • 0021437444 scopus 로고
    • The computation and communication complexity of a parallel banded system solver
    • Lawrie, D.H., Sameh, A.H.: The computation and communication complexity of a parallel banded system solver. ACM Trans. Math. Softw. 10(2), 185-195 (1984)
    • (1984) ACM Trans. Math. Softw , vol.10 , Issue.2 , pp. 185-195
    • Lawrie, D.H.1    Sameh, A.H.2
  • 4
    • 0021626113 scopus 로고
    • On some parallel banded system solvers
    • Dongarra, J.J., Sameh, A.H.: On some parallel banded system solvers. Parallel Computing 1(3), 223-235 (1984)
    • (1984) Parallel Computing , vol.1 , Issue.3 , pp. 223-235
    • Dongarra, J.J.1    Sameh, A.H.2
  • 5
    • 31044454001 scopus 로고    scopus 로고
    • A parallel hybrid banded system solver: The spike algorithm
    • Polizzi, E., Sameh, A.H.: A parallel hybrid banded system solver: the spike algorithm. Parallel Comput. 32(2), 177-194 (2006)
    • (2006) Parallel Comput , vol.32 , Issue.2 , pp. 177-194
    • Polizzi, E.1    Sameh, A.H.2
  • 6
    • 33750298089 scopus 로고    scopus 로고
    • Spike: A parallel environment for solving banded linear systems
    • Polizzi, E., Sameh, A.H.: Spike: A parallel environment for solving banded linear systems. Computers & Fluids 36(1), 113-120 (2007)
    • (2007) Computers & Fluids , vol.36 , Issue.1 , pp. 113-120
    • Polizzi, E.1    Sameh, A.H.2
  • 8
    • 1642370513 scopus 로고    scopus 로고
    • Solving unsymmetric sparse systems of linear equations with pardiso
    • Selected numerical algorithms
    • Schenk, O., Gärtner, K.: Solving unsymmetric sparse systems of linear equations with pardiso. Future Generation Computer Systems 20(3), 475-487 (2004) Selected numerical algorithms
    • (2004) Future Generation Computer Systems , vol.20 , Issue.3 , pp. 475-487
    • Schenk, O.1    Gärtner, K.2
  • 9
    • 33846230007 scopus 로고    scopus 로고
    • On fast factorization pivoting methods for sparse symmetric indefinite systems
    • Schenk, O., Gärtner, K.: On fast factorization pivoting methods for sparse symmetric indefinite systems. Electronic Transactions on Numerical Analysis 23, 158-179 (2006)
    • (2006) Electronic Transactions on Numerical Analysis , vol.23 , pp. 158-179
    • Schenk, O.1    Gärtner, K.2
  • 10
    • 0000005482 scopus 로고
    • Bi-cgstab: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems
    • van der Vorst, H.A.: Bi-cgstab: a fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13(2), 631-644 (1992)
    • (1992) SIAM J. Sci. Stat. Comput , vol.13 , Issue.2 , pp. 631-644
    • van der Vorst, H.A.1
  • 12
    • 84976724340 scopus 로고
    • Algorithm 575: Permutations for a zero-free diagonal [f1]
    • Duff, I.S.: Algorithm 575: Permutations for a zero-free diagonal [f1]. ACM Trans. Math. Softw. 7(3), 387-390 (1981)
    • (1981) ACM Trans. Math. Softw , vol.7 , Issue.3 , pp. 387-390
    • Duff, I.S.1
  • 13
    • 0033242220 scopus 로고    scopus 로고
    • The design and use of algorithms for permuting large entries to the diagonal of sparse matrices
    • Duff, I.S., Koster, J.: The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. SIAM Journal on Matrix Analysis and Applications 20(4), 889-901 (1999)
    • (1999) SIAM Journal on Matrix Analysis and Applications , vol.20 , Issue.4 , pp. 889-901
    • Duff, I.S.1    Koster, J.2
  • 15
    • 19044389348 scopus 로고    scopus 로고
    • HSL MC73: A fast multilevel Fiedler and profile reduction code
    • Technical Report RAL-TR-2003-036
    • Hu, Y., Scott, J.: HSL MC73: a fast multilevel Fiedler and profile reduction code. Technical Report RAL-TR-2003-036 (2003)
    • (2003)
    • Hu, Y.1    Scott, J.2
  • 16
    • 70350657434 scopus 로고    scopus 로고
    • Davis, T.A.: University of Florida sparse matrix collection. NA Digest (1997)
    • Davis, T.A.: University of Florida sparse matrix collection. NA Digest (1997)
  • 17
    • 0034884436 scopus 로고    scopus 로고
    • Preconditioning highly indefinite and nonsymmetric matrices
    • Benzi, M., Haws, J.C., Tuma, M.: Preconditioning highly indefinite and nonsymmetric matrices. SIAM J. Sci. Comput. 22(4), 1333-1353 (2000)
    • (2000) SIAM J. Sci. Comput , vol.22 , Issue.4 , pp. 1333-1353
    • Benzi, M.1    Haws, J.C.2    Tuma, M.3
  • 18
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • Karypis, G., Kumar, V.: A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20(1), 359-392 (1998)
    • (1998) SIAM J. Sci. Comput , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 20
    • 29144523061 scopus 로고    scopus 로고
    • On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming
    • Wächter, A., Biegler, L.T.: On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming. Mathematical Programming 106(1), 25-57 (2006)
    • (2006) Mathematical Programming , vol.106 , Issue.1 , pp. 25-57
    • Wächter, A.1    Biegler, L.T.2
  • 21
    • 31044439817 scopus 로고    scopus 로고
    • Hybrid scheduling for the parallel solution of linear systems
    • Amestoy, P.R., Guermouche, A., L'Excellent, J.Y., Pralet, S.: Hybrid scheduling for the parallel solution of linear systems. Parallel Comput. 32(2), 136-156 (2006)
    • (2006) Parallel Comput , vol.32 , Issue.2 , pp. 136-156
    • Amestoy, P.R.1    Guermouche, A.2    L'Excellent, J.Y.3    Pralet, S.4
  • 22
    • 0036060795 scopus 로고    scopus 로고
    • A fully asynchronous multifrontal solver using distributed dynamic scheduling
    • Amestoy, P.R., Duff, I.S., L'Excellent, J.Y., Koster, J.: A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM J. Matrix Anal. Appl. 23(1), 15-41 (2001)
    • (2001) SIAM J. Matrix Anal. Appl , vol.23 , Issue.1 , pp. 15-41
    • Amestoy, P.R.1    Duff, I.S.2    L'Excellent, J.Y.3    Koster, J.4
  • 23
    • 0033884893 scopus 로고    scopus 로고
    • Multifrontal parallel distributed symmetric and unsymmetric solvers
    • Amestoy, P.R., Duff, I.S.: Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Methods Appl. Mech. Eng. 184, 501-520 (2000)
    • (2000) Comput. Methods Appl. Mech. Eng , vol.184 , pp. 501-520
    • Amestoy, P.R.1    Duff, I.S.2
  • 24
    • 67349127554 scopus 로고    scopus 로고
    • Parallel scalable PDE-constrained optimization: Antenna identification in hyperthermia cancer treatment planning. Computer Science
    • Schenk, O., Manguoglu, M., Sameh, A., Christian, M., Sathe, M.: Parallel scalable PDE-constrained optimization: antenna identification in hyperthermia cancer treatment planning. Computer Science - Research and Development 23(3), 177-183 (2009)
    • (2009) Research and Development , vol.23 , Issue.3 , pp. 177-183
    • Schenk, O.1    Manguoglu, M.2    Sameh, A.3    Christian, M.4    Sathe, M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.