A parallel sparse linear solver for nearest-neighbor tight-binding problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5168 LNCS, Issue , 2008, Pages 790-800

  Luisier, Mathieu ^a   Klimeck, Gerhard ^a   Schenk, Andreas ^b   Fichtner, Wolfgang ^b   Boykin, Timothy B ^c  

^a Purdue University   (United States)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC LAYERS; DEVICE SIMULATIONS; GAUSSIAN ELIMINATION; LINEAR SOLVERS; NEAREST NEIGHBORS; PARALLEL PROCESSING; PHYSICS COMMUNITY; RENORMALIZATION; TIGHT-BINDING; TIGHT-BINDING METHOD;

PARALLEL ALGORITHMS;

EID: 51849115980     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-85451-7_84     Document Type: Conference Paper

References (10)

1. Boykin, T.B., Klimeck, G., Oyafuso, F.: Valence band effective-mass expressions in the sp d s*empirical tight-binding model applied to a Si and Ge parametrization. Phys. Rev. B 69, 115201 (2004)
2. Datta, S.: Nanoscale device modeling: the Green's function method. Superlattices Microstruct. 28, 253-278 (2000)
3. Luisier, M., Klimeck, G., Schenk, A., Fichtner, W.: Atomistic Simulation of Nanowires in the sp d s*Tight-Binding Formalism: from Boundary Conditions to Strain Calculations. Phys. Rev. B 74, 205323 (2006)
4. Boykin, T.B., Luisier, M., Klimeck, G.: Multi-band transmission calculations for nanowires using an optimized renormalization method. Phys. Rev. B 77, 165318 (2008)
5. Sweet, R.A.: A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimension. SIAM J. Numer. Anal. 14, 707-720 (1977)
6. Grosso, G., Moroni, S., Parravicini, G.P.: Electronic structure of the InAs-GaSb superlattice studied by the renormalization method. Phys. Rev. B 40, 12328 (1989)
7. Schenk, O., Gartner, K.: Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO. Journal of Future Generation Computer Systems 20, 475-487 (2004)
8. Li, X.S., Demmel, J.W.: SuperLU_DIST: A Scalable Distributed Memory Sparse Direct Solver for Unsymmetric Linear Systems. ACM Trans. on Math. Software 29, 110 (2003)
9. Amestoy, P.R., Duff, I.S., L'Excellent, J.-Y.: Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Methods in Appl. Mech. Eng. 184, 501 (2000)
10. Polizzi, E., Sameh, A.H.: A parallel hybrid banded system solver: the SPIKE algorithm. Parallel Comp. 32, 177 (2006)