Sips swMATH ID: 20921 Software Authors: Zhang, Hong; Smith, Barry; Sternberg, Michael; Zapol, Peter Description: Sips: shift-and-invert parallel spectral transformations. SIPs is a new efficient and robust software package implementing multiple shift-and-invert spectral transformations on parallel computers. Built on top of SLEPc and PETSc, it can compute very large numbers of eigenpairs for sparse symmetric generalized eigenvalue problems. The development of SIPs is motivated by applications in nanoscale materials modeling, in which the growing size of the matrices and the pathological eigenvalue distribution challenge the efficiency and robustness of the solver. In this article, we present a parallel eigenvalue algorithm based on distributed spectrum slicing. We describe the object-oriented design and implementation techniques in SIPs, and demonstrate its numerical performance on an advanced distributed computer. Homepage: http://dl.acm.org/citation.cfm?doid=1236463.1236464 Related Software: PETSc; SLEPc; LAPACK; JDQZ; JDQR; SparseMatrix; MUMPS; ScaLAPACK; ARPACK; lobpcg.m; FEAST; Matlab; BLZPACK; MINRES; MINRES-QLP; ILUM; MPI; PRIMME; Q-Chem; ONETEP Cited in: 9 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Sips: shift-and-invert parallel spectral transformations. Zbl 1365.65098Zhang, Hong; Smith, Barry; Sternberg, Michael; Zapol, Peter 2007 all top 5 Cited by 22 Authors 2 Lin, Lin 2 Román, Jose E. 1 Alonso, Pedro 1 Bernabeu, Miguel O. 1 Campos, Carmen 1 Carlebach, Eyal 1 Druinsky, Alex 1 García, Víctor M. 1 Jenko, Frank 1 Kalantzis, Vassilis 1 Kammerer, Matthias 1 Li, Ying 1 Liu, Wing Kam 1 Lu, Jianfeng 1 Merz, Florian 1 Sternberg, Michael J. E. 1 Toledo, Sivan 1 Vidal, Antonio Manuel 1 Ying, Lexing 1 Zapol, Peter 1 Zhang, Hong 1 Zhao, Jifeng all top 5 Cited in 9 Serials 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Parallel Computing 1 Computational Mechanics 1 Journal of Parallel and Distributed Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Acta Numerica all top 5 Cited in 6 Fields 9 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year