FEAST swMATH ID: 4025 Software Authors: Tang, Ping Tak Peter; Polizzi, Eric Description: The FEAST solver package is a free high-performance numerical library for solving the standard or generalized eigenvalue problem, and obtaining all the eigenvalues and eigenvectors within a given search interval. It is based on an innovative fast and stable numerical algorithm – named the FEAST algorithm – which deviates fundamentally from the traditional Krylov subspace iteration based techniques (Arnoldi and Lanczos algorithms) or other Davidson-Jacobi techniques. The FEAST algorithm takes its inspiration from the density-matrix representation and contour integration technique in quantum mechanics. It is free from explicit orthogonalization procedures, and its main computational tasks consist of solving very few inner independent linear systems with multiple right-hand sides and one reduced eigenvalue problem orders of magnitude smaller than the original one. The FEAST algorithm combines simplicity and efficiency and offers many important capabilities for achieving high performance, robustness, accuracy, and scalability on parallel architectures. This general purpose FEAST solver package includes both reverse communication interfaces and ready to use predefined interfaces for dense, banded and sparse systems. It includes double and single precision arithmetic, and all the interfaces are compatible with Fortran (77,90) and C. FEAST is both a comprehensive library package, and an easy to use software. This solver is expected to significantly augment numerical performances and capabilities in large-scale modern applications. Homepage: http://www.ecs.umass.edu/~polizzi/feast/index.htm Related Software: CIRR; lobpcg.m; SparseMatrix; JDQZ; ARPACK; JDQR; NLEVP; Matlab; LAPACK; SLEPc; MatrixMarket; IRAM; mftoolbox; PRIMME; EVSL; Chebfun; JADAMILU; TRLan; MUMPS; Quantum Espresso Cited in: 108 Documents Further Publications: http://www.ecs.umass.edu/~polizzi/feast/references.htm Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year FEAST as a subspace iteration eigensolver accelerated by approximate spectral projection. Zbl 1303.65018Tang, Ping Tak Peter; Polizzi, Eric 2014 all top 5 Cited by 209 Authors 10 Saad, Yousef 9 Polizzi, Eric 7 Sakurai, Tetsuya 7 Xi, Yuanzhe 6 Imakura, Akira 6 Zhang, Chuanzeng 5 Lin, Lin 5 Yin, Guojian 4 Du, Lei 4 Townsend, Alex 4 Xiao, Jinyou 4 Zheng, Changjun 3 Alvermann, Andreas 3 Chen, Haibo 3 Fehske, Holger 3 Gao, Haifeng 3 Gopalakrishnan, Jay 3 Grubišić, Luka 3 Hager, Georg 3 Kalantzis, Vassilis 3 Kestyn, James 3 Kreutzer, Moritz 3 Lang, Bruno 3 Nakatsukasa, Yuji 3 Ovall, Jeffrey S. 3 Sun, Jiguang 3 Tang, Ping Tak Peter 3 Wellein, Gerhard 3 Xia, Jianlin 2 Austin, Anthony P. 2 Basermann, Achim 2 Beckermann, Bernhard 2 Bi, ChuanXing 2 Chan, Raymond Hon-Fu 2 Galgon, Martin 2 Güttel, Stefan 2 Hoshi, Takeo 2 Jia, Zhongxiao 2 Li, Ruipeng 2 Li, Yingzhou 2 Lu, Jianfeng 2 Massei, Stefano 2 Miao, Cun-Qiang 2 Morikuni, Keiichi 2 Pieper, Andreas 2 Robol, Leonardo 2 Röhrig-Zöllner, Melven 2 Shen, Chungen 2 Thies, Jonas 2 Van Barel, Marc 2 Vecharynski, Eugene 2 Xue, Wenjuan 2 Yang, Haizhao 2 Ye, Xin 2 Ying, Lexing 2 Zhang, Kailiang 1 Aishima, Kensuke 1 Balakrishnan, Venkataramanan 1 Barkatou, Moulay A. 1 Beyn, Wolf-Jürgen 1 Bientinesi, Paolo 1 Bini, Dario Andrea 1 Birk, Sebastian 1 Boito, Paola 1 Brennan, Michael C. 1 Bungartz, Hans-Joachim 1 Campos, Carmen 1 Camps, Daan 1 Carbogno, Christian 1 Carcenac, Manuel 1 Cauley, Stephen 1 Charalampidis, Efstathios G. 1 Chen, Hongjia 1 Chen, Xiaoping 1 Chen, Zhongyuan 1 Cooper, Fred 1 Dai, Hua 1 Danaila, Ionut 1 Dawson, John F. 1 de Hoop, Maarten V. 1 Di Napoli, Edoardo A. 1 Drmač, Zlatko 1 Druskin, Vladimir 1 E, Weinan 1 Ebadi, Ghodrat 1 Elsworth, Steven 1 Embree, Mark 1 Engström, Christian 1 Erlandson, Lucas 1 Ernst, Dominik 1 Ezvan, Olivier 1 Fan, Changxing 1 Fina, M. 1 Freund, Roland W. 1 Frommer, Andreas 1 Fujita, Takatoshi 1 Futamura, Yasunori 1 Gao, Weiguo 1 Gavin, Brendan 1 Gawlik, Evan S. ...and 109 more Authors all top 5 Cited in 37 Serials 13 SIAM Journal on Scientific Computing 12 SIAM Journal on Matrix Analysis and Applications 7 Journal of Computational Physics 7 Journal of Computational and Applied Mathematics 7 Journal of Scientific Computing 6 Linear Algebra and its Applications 5 Numerical Linear Algebra with Applications 4 Japan Journal of Industrial and Applied Mathematics 3 Computer Physics Communications 3 Mathematics of Computation 3 Numerical Algorithms 3 SIAM Review 3 Multiscale Modeling & Simulation 2 Computer Methods in Applied Mechanics and Engineering 2 ACM Transactions on Mathematical Software 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Computational Mechanics 2 SIAM Journal on Optimization 1 Applicable Analysis 1 Wave Motion 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Constructive Approximation 1 Computational Statistics 1 SIAM Journal on Applied Mathematics 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics all top 5 Cited in 22 Fields 98 Numerical analysis (65-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 11 Partial differential equations (35-XX) 9 Operator theory (47-XX) 6 Functions of a complex variable (30-XX) 6 Mechanics of deformable solids (74-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year