ITSOL swMATH ID: 4031 Software Authors: Na Li; Brian Suchomel; Daniel Osei-Kuffuor; Ruipeng Li; Yousef Saad Description: ITSOL is a library of iterative solvers for general sparse linear systems of equations. ITSOL can be viewed as an extension of the itsol module in SPARSKIT. It is written in C and offers a selection of recently developed preconditioners. The preconditioner suite includes: ILUK (ILU preconditioner with level of fill) ILUT (ILU preconditioner with threshold) ILUC (Crout version of ILUT) VBILUK (variable block preconditioner with level of fill - with automatic block detection) VBILUT (variable block preconditioner with threshold - with automatic block detection) ARMS (Algebraic Recursive Multilevel Solvers – includes actually several methods - In particular the standard ARMS and the ddPQ version which uses nonsymmetric permutations). Note that ITSOL is a scalar package. You may find parallel implentations of some of the preconditioners listed above in pARMS . Homepage: http://www-users.cs.umn.edu/~saad/software/ITSOL/ Programming Languages: C Keywords: preconditioner; SPARSKIT; iterative solver Related Software: SPARSKIT; BLAS; ILUT; LAPACK; CGS; ARPACK; PETSc; Matlab; Harwell-Boeing sparse matrix collection; SparseMatrix; JDQZ; P-SPARSLIB; ILUM; ARMS; Expokit; JDQR; ATLAS; BILUTM; SuperLU; pARMS Cited in: 154 Publications Further Publications: http://www-users.cs.umn.edu/~saad/software/ITSOL/reports.html all top 5 Cited by 286 Authors 14 Saad, Yousef 5 Wong, Jeff Chak-Fu 4 Bergamaschi, Luca 4 Chow, Edmond G. W. 4 Stathopoulos, Andreas 3 Arenaz, Manuel 3 Arias, Enrique 3 Benzi, Michele 3 Doallo, Ramón 3 Gallopoulos, Efstratios 3 Jimack, Peter K. 3 Meerbergen, Karl 3 Migallón, Héctor 3 Migallón, Violeta 3 Nadeem, Sarfraz Ahmad 3 Penadés, José 3 Quarteroni, Alfio M. 3 Sidje, Roger B. 3 Touriño, Juan 3 Watson, Layne Terry 3 Wu, Kesheng 2 Alberto, Angelines 2 Arnal, Josep 2 Badia, Santiago 2 Benet, Jesús 2 Bijl, Hester 2 Borzì, Alfio 2 Borzì, Giuseppe 2 Caliari, Marco 2 Chaumette, Serge 2 Counilh, M.-C. 2 Cuartero, Fernando 2 Dutto, Laura Cecilia 2 Echebest, Nélida E. 2 Freund, Roland W. 2 Gambolati, Giuseppe 2 Guardarucci, M. T. 2 Heroux, Michael A. 2 Koko, Jonas 2 Li, Na 2 Lucas, Peter J. F. 2 Manguoglu, Murat 2 Martínez, Ángeles 2 Nachtigal, Noël M. 2 Notay, Yvan 2 Pini, Giorgio 2 Power, Henry 2 Ribbens, Calvin J. 2 Rice, John R. 2 Rojo, Tomás 2 Sadkane, Miloud 2 Sameh, Ahmed H. 2 Scolnik, Hugo D. 2 Shoele, Kourosh 2 Sosonkina, Masha 2 Vacchino, M. C. 2 van Duin, Arno C. N. 2 van Zuijlen, Alexander H. 2 Vasconcelos, Paulo Beleza 2 Vianello, Marco 2 Yuan, Peng 2 Zhang, Jun 1 Abdel-Rehim, Abdou M. 1 Abdelraheem, Mohamed Ahmed 1 Acevedo, L. 1 Adalsteinsson, David 1 Agoshkov, Valeriĭ Ivanovich 1 Agresar, G. 1 Amar, Z. O. 1 Ammara, Idriss 1 Anderson, Gary S. 1 Bai, Zhaojun 1 Bajalinov, Erik B. 1 Bängtsson, Erik 1 Beg, Ivan 1 Bekas, Constantine 1 Bender, Michael A. 1 Berry, Michael W. 1 Berthelsen, Petter Andreas 1 Besse, Christophe 1 Blanco, Pablo Javier 1 Bonnin, Xavier 1 Botta, Eugen F. F. 1 Bramley, Randall B. 1 Bru, Rafael 1 Buffoni, M. 1 Cai, Xiao-Chuan 1 Cao, Jianwen 1 Cao, Yang 1 Carpentieri, Bruno 1 Castillo, Paul E. 1 Cebrian, David 1 Chen, Zhangxin 1 Chien, Cheng-Sheng 1 Claudel, Jean 1 D’Almeida, Filomena D. 1 Darte, Alain 1 Das, Raja 1 D’Avino, Gaetano 1 Dayar, Tugrul ...and 186 more Authors all top 5 Cited in 56 Serials 16 SIAM Journal on Scientific Computing 9 Numerical Linear Algebra with Applications 8 Journal of Computational and Applied Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Applied Numerical Mathematics 5 International Journal for Numerical Methods in Fluids 5 Journal of Computational Physics 5 Parallel Computing 4 Computers & Mathematics with Applications 4 ACM Transactions on Mathematical Software 4 International Journal for Numerical Methods in Engineering 4 SIAM Journal on Matrix Analysis and Applications 4 Numerical Algorithms 3 Computers and Fluids 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 2 Journal of Fluid Mechanics 2 Computational Mechanics 2 Journal of Scientific Computing 2 Advances in Engineering Software 2 Communications in Numerical Methods in Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 Russian Journal of Numerical Analysis and Mathematical Modelling 1 AIAA Journal 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Information Processing Letters 1 Mathematical Biosciences 1 BIT 1 Numerische Mathematik 1 Software. Practice & Experience 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Economic Dynamics & Control 1 Annals of Operations Research 1 International Journal of High Speed Computing 1 Applications of Mathematics 1 The Journal of Supercomputing 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Physics of Fluids 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Revue Européenne des Éléments Finis 1 Engineering Analysis with Boundary Elements 1 Parallel Algorithms and Applications 1 Computing and Visualization in Science 1 Informatica (Ljubljana) 1 Theory of Computing Systems 1 International Journal of Computational Fluid Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 CMES. Computer Modeling in Engineering & Sciences 1 The Kluwer International Series in Engineering and Computer Science 1 Applied Optimization 1 Computational Science & Engineering 1 ACM Communications in Computer Algebra all top 5 Cited in 29 Fields 111 Numerical analysis (65-XX) 37 Fluid mechanics (76-XX) 22 Computer science (68-XX) 20 Partial differential equations (35-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Operations research, mathematical programming (90-XX) 6 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year