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 LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.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. Piessens, Robert; Branders, Maria: Algorithm for the computation of Bessel function integrals (1984)
  2. Ribando, R. J.; Shadday, M. A. jun.: The Ekman matching condition in a partially filled, rapidly rotating cylinder (1984)
  3. Van Loan, Charles F.: A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix (1984)
  4. Varah, J. M.: Computational methods in linear algebra (1984)
  5. Vulchanov, N.; Konstantinov, M. M.: A program package for numerical integration of stiff systems of ordinary differential equations (1984)
  6. Abdelmalek, N. N.: An algorithm for the solution of ill-posed linear systems arising from the discretization of Fredholm integral equation of the first kind (1983)
  7. Allen, Richard C. jun.; Boland, W. Robert; Wing, G. Milton: Numerical experiments involving Galerkin and collocation methods for linear integral equations of the first kind (1983)
  8. Bates, Douglas M.; Hamilton, David C.; Watts, Donald C.: Calculation of intrinsic and parameter-effects curvatures for nonlinear regression models (1983)
  9. Crawford, C. R.; Moon, Yiu Sang: Finding a positive definite linear combination of two Hermitian matrices (1983)
  10. Fox, D. W.; Kuttler, J. R.: Sloshing frequencies (1983)
  11. Gautschi, Walter: How and how not to check Gaussian quadrature formulae (1983)
  12. Jain, N. K.; Singhal, K.; Huseyin, K.: On roots of functional lambda matrices (1983)
  13. Jones, Rondall E.; Kahaner, David K.: XERROR, the SLATEC error-handling package (1983)
  14. Kammler, David W.: A perturbation analysis of the intrinsic conditioning of an approximate null vector computed with a SVD (1983)
  15. Niessner, H.; Reichert, K.: On computing the inverse of a sparse matrix (1983)
  16. Rice, John R.: Performance analysis of 13 methods to solve the Galerkin method equations (1983)
  17. Ruhe, Axel: Numerical aspects of Gram-Schmidt orthogonalization of vectors (1983)
  18. Brannigan, M.: The strict Chebyshev solution of overdetermined systems of linear equations with rank deficient matrix (1982)
  19. Bunch, James R.: Stable algorithms for solving symmetric and skew-symmetric systems (1982)
  20. Dennis, J. E. jun.; Marwil, Earl S.: Direct secant updates of matrix factorizations (1982)

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