EISPACK swMATH ID: 4208 Software Authors: Smith, Brian; Boyle, James; Dongarra, Jack; Garbow, Burton; Ikebe, Y.; Klema, V.; Moler, Cleve Description: EISPACK is a collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matices. In addition, two routines are included that use singular value decomposition to solve certain least-squares problems. EISPACK has been superseded for the most part by LAPACK. (netlib eispack) Homepage: http://www.netlib.org/eispack/index.html Related Software: LAPACK; LINPACK; BLAS; Matlab; ScaLAPACK; ARPACK; HQR3; IMSL Numerical Libraries; ELLPACK; JDQZ; NAG; mctoolbox; Mathematica; ATLAS; JDQR; Algorithm 679; CLAPACK; eigs; CUDA; MACHAR Cited in: 495 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Matrix eigensystem routines - EISPACK guide. 2nd ed. Zbl 0325.65016Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 1976 Matrix eigensystem routines - EISPACK guide. Zbl 0289.65017Smith, B. T.; Boyle, J. M.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 1974 all top 5 Cited by 686 Authors 22 Dongarra, Jack J. 12 Demmel, James Weldon 11 Li, Tien-Yien 11 Siewert, Charles E. 9 Garcia, Roberto D. M. 8 Bai, Zhaojun 8 Moler, Cleve B. 8 Sorensen, Danny C. 8 Van Loan, Charles Francis 7 Stewart, Gilbert Wright 7 Watkins, David S. 6 Reichel, Lothar 6 Simon, Horst D. 5 Byers, Ralph 5 Garbow, Burton S. 5 Gautschi, Walter 5 Hammarling, Sven J. 5 Ikebe, Yasuhiko 5 Kågström, Bo 5 Konstantinov, Mikhail Mikhajlov 5 Li, Kuiyuan 5 Petkov, Petko Hr. 4 Barichello, Liliane Basso 4 Bischof, Christian H. 4 Calvetti, Daniela 4 Christov, Nicolai D. 4 Cullum, Jane K. 4 Grimes, Roger G. 4 Jessup, Elizabeth R. 4 Kaufman, Linda 4 Klema, Virginia C. 4 Mehrmann, Volker 4 Milovanović, Gradimir V. 4 Trefethen, Lloyd Nicholas 4 Van Dooren, Paul M. 4 Vandewalle, Joos P. 4 Willoughby, Ralph A. 3 Ammar, Gregory S. 3 Arbenz, Peter 3 Boyle, James M. 3 Chu, Chih-Ping 3 Du Croz, Jeremy J. 3 Dubrulle, Augustin A. 3 Dyksen, Wayne R. 3 Fischer, Charlotte Froese 3 Gentle, James E. 3 Golub, Gene Howard 3 Henry, Greg M. 3 Ipsen, Ilse C. F. 3 Kikuchi, Yasushi 3 Kressner, Daniel 3 Laub, Alan J. 3 Manocha, Dinesh 3 Overton, Michael L. 3 Pearlstein, Arne J. 3 Rjasanow, Sergej 3 Saad, Yousef 3 Scherer, C. S. 3 Zeng, Zhonggang 2 Aldhaheri, Rabah W. 2 Asai, Nobuyoshi 2 Berry, Michael W. 2 Beskos, Dimitri E. 2 Boisvert, Ronald F. 2 Boley, Daniel L. 2 Brent, Richard Peirce 2 Bunse-Gerstner, Angelika 2 Carstensen, Carsten 2 Chalhoub, Ezzat S. 2 Chan, Raymond Hon-Fu 2 Chan, Tony Fan-Cheong 2 Chang, Weng-Long 2 Chen, Yangquan 2 Choi, Kyung Kook 2 Chua, Leon Ong 2 Conte, Samuel D. 2 Davis, George J. 2 de Boor, Carl 2 Evans, David John 2 Fox, David W. 2 Fujishiro, Issei 2 Funken, Stefan A. 2 Gragg, William B. 2 Gubernatis, James E. 2 Gustavson, Fred G. 2 Hager, William W. 2 Hake, Juergen-Fr. 2 Hasan, Mohammed A. K. 2 Haug, Edward J. jun. 2 Homberg, W. 2 Jonckheere, Edmond A. 2 Kahan, William Morton 2 Kaper, Hans G. 2 Kerner, Wolfgang 2 Köckler, Norbert 2 Koelling, D. D. 2 Krishnan, Shankar M. 2 Kublanovskaya, Vera Nikolaevna 2 Lang, Bruno 2 Lehoucq, Richard B. ...and 586 more Authors all top 5 Cited in 150 Serials 23 ACM Transactions on Mathematical Software 23 Journal of Computational and Applied Mathematics 21 SIAM Journal on Scientific and Statistical Computing 20 International Journal of Control 20 Journal of Computational Physics 17 Linear Algebra and its Applications 14 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 11 Parallel Computing 11 SIAM Journal on Matrix Analysis and Applications 11 SIAM Journal on Scientific Computing 9 International Journal for Numerical Methods in Engineering 8 Computer Methods in Applied Mechanics and Engineering 8 Computer Physics Communications 7 Computers and Structures 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Mathematics of Computation 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Automatica 5 Numerical Algorithms 5 SIAM Journal on Applied Mathematics 5 SIAM Review 4 Computers & Mathematics with Applications 4 Transport Theory and Statistical Physics 4 Applied Mathematics and Computation 4 Applied Numerical Mathematics 4 Physics of Fluids 3 International Journal for Numerical Methods in Fluids 3 Computing 3 Technometrics 3 Physica D 3 Numerical Methods for Partial Differential Equations 3 European Journal of Mechanics. B. Fluids 3 Lecture Notes in Computer Science 3 Springer Texts in Statistics 2 Geophysical and Astrophysical Fluid Dynamics 2 International Journal of Heat and Mass Transfer 2 Physics of Fluids, A 2 BIT 2 IEEE Transactions on Automatic Control 2 Journal of Econometrics 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Optimal Control Applications & Methods 2 Systems & Control Letters 2 Journal of Symbolic Computation 2 Computational Mechanics 2 European Journal of Applied Mathematics 2 IEEE Transactions on Signal Processing 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Computational Methods 2 Classics in Applied Mathematics 2 Journal of Computational and Theoretical Transport 1 Acta Mechanica 1 AIAA Journal 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 Ingenieur-Archiv 1 International Journal of Mechanical Sciences 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 The Mathematical Intelligencer 1 Biometrika 1 Information Sciences 1 International Journal of Circuit Theory and Applications 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Mathematics of Operations Research 1 Mathematical Programming Study 1 Mathematical Programming 1 Operations Research 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 SIAM Journal on Computing 1 SIAM Journal on Control and Optimization 1 Theoretical Population Biology 1 Numerical Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of Time Series Analysis 1 Circuits, Systems, and Signal Processing 1 Numerical Heat Transfer 1 Journal of VLSI and Computer Systems 1 Acta Mathematicae Applicatae Sinica. English Series 1 Finite Elements in Analysis and Design 1 ACM Transactions on Graphics 1 Applied Stochastic Models and Data Analysis 1 Constructive Approximation ...and 50 more Serials all top 5 Cited in 41 Fields 335 Numerical analysis (65-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 48 Fluid mechanics (76-XX) 48 Systems theory; control (93-XX) 44 Mechanics of deformable solids (74-XX) 41 Computer science (68-XX) 36 Partial differential equations (35-XX) 26 Ordinary differential equations (34-XX) 26 Statistics (62-XX) 16 Operations research, mathematical programming (90-XX) 14 Quantum theory (81-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 General and overarching topics; collections (00-XX) 10 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 9 Approximations and expansions (41-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Optics, electromagnetic theory (78-XX) 5 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Information and communication theory, circuits (94-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year