LINPACK is a collection of Fortran subroutines that analyze and solve linear equations and linear least-squares problems. The package solves linear systems whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition, the package computes the QR and singular value decompositions of rectangular matrices and applies them to least-squares problems. LINPACK uses column-oriented algorithms to increase efficiency by preserving locality of reference. LINPACK was designed for supercomputers in use in the 1970s and early 1980s. LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers. (Source:

References in zbMATH (referenced in 520 articles , 1 standard article )

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  1. Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H.: Theory and applications of Hopf bifurcation. Transl. from the English (1985)
  2. Hutchinson, M. F.; de Hoog, F. R.: Smoothing noisy data with spline functions (1985)
  3. Il’in, V. P.; Kuznetsov, Yu. I.: Tridiagonal matrices and their applications. (Trekhdiagonal’nye matritsy i ikh prilozheniya) (1985)
  4. Kautsky, J.; Nichols, N. K.; van Dooren, P.: Robust pole assignment in linear state feedback (1985)
  5. Klauder, John R.; Petersen, Wesley P.: Spectrum of certain non-self-adjoint operators and solutions of Langevin equations with complex drift (1985)
  6. Rice, John R.; Boisvert, Ronald F.: Solving elliptic problems using ELLPACK (1985)
  7. Roose, D.: An algorithm for the computation of Hopf bifurcation points in comparison with other methods (1985)
  8. Van Loan, Charles F.: Computing the CS and the generalized singular value decompositions (1985)
  9. Zlatev, Zahari; Wasniewski, Jerzy; Schaumburg, Kjeld: Exploiting the sparsity in the solution of linear ordinary differential equations (1985)
  10. Addison, C. A.; Gladwell, I.: Second derivative methods applied to implicit first- and second-order systems (1984)
  11. Arioli, M.; Laratta, A.: Direct methods for the solution of linear systems (1984)
  12. Boley, D. L.; Golub, G. H.: The Lanczos-Arnoldi algorithm and controllability (1984)
  13. Dongarra, J. J.; Gabriel, J. R.; Koelling, D. D.; Wilkinson, J. H.: The eigenvalue problem for Hermitian matrices with time reversal symmetry (1984)
  14. Dongarra, J. J.; Gustavson, F. G.; Karp, A.: Implementing linear algebra algorithms for dense matrices on a vector pipeline machine (1984)
  15. Eldén, Lars: A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems (1984)
  16. Hager, William W.: Condition estimates (1984)
  17. Johnson, Mark E.; Wang, Chiang; Ramberg, John S.: Generation of continuous multivariate distributions for statistical applications (1984)
  18. Kersten, H.: Das (L^ 2)-Randabgleichverfahren am Beispiel der Helmholtz-Gleichung und der Maxwellschen Gleichungen im (\mathbbR^ 3) (1984)
  19. Kersten, H.: Zur Methode des (L^ 2)-Randabgleichs bei der Dirichletschen Außenraumaufgabe der Schwingungsgleichung im (\mathbbR^ 3) (1984)
  20. Miele, A.; Wang, T.; Heideman, J. C.; Sharma, J. N.: Wave parameter identification problem for ocean test structure data. II: Discrete formulation (1984)

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