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 LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.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. Eisenstat, S. C.; Gursky, M. C.; Schultz, M. H.; Sherman, A. H.: Yale sparse matrix package. I: The symmetric codes (1982)
  2. Emami-Naeini, A.; van Dooren, P.: Computation of zeros of linear multivariable systems (1982)
  3. Hammarling, S. J.: Numerical solution of the stable, non-negative definite Lyapunov equation (1982)
  4. Hopkins, T. R.: On the sensitivity of the coefficients of Padé approximants with respect to their defining power series coefficients (1982)
  5. Ives, David C.: Conformal grid generation (1982)
  6. Luke, Yudell L.: A note on evaluation of coefficients in the polynomials of Padé approximants by solving systems of linear equations (1982)
  7. Sorensen, D. C.: Collinear scaling and sequential estimation in sparse optimization algorithms (1982)
  8. Stewart, G. W.: Computing the CS decomposition of a partitioned orthonormal matrix (1982)
  9. Aplevich, J. D.: Time-domain input-output representations of linear systems (1981)
  10. de Boor, Carl; Swartz, Blair: Collocation approximation to eigenvalues of an ordinary differential equation: Numerical illustrations (1981)
  11. Freeden, Willi; Reuter, Richard: A class of multidimensional periodic splines (1981)
  12. Hassard, B.; El-Henawy, I. M.: Numerical Hopf bifurcation analysis in nonlinear ordinary and partial differential systems from chemical reactor theory (1981)
  13. Konstantinov, M. M.; Petkov, P. Hr.; Christov, N. D.: Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups (1981)
  14. Liu, Lon-Mu; Hanssens, Dominique M.: A Bayesian approach to time-varying cross-sectional regression models (1981)
  15. Paige, C. C.; Saunders, M. A.: Towards a generalized singular value decomposition (1981)
  16. Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.: LINPACK, users’ guide. 2nd printing (1980)
  17. Grosse, Eric: Tensor spline approximation (1980)
  18. Serbin, Steven M.: On factoring a class of complex symmetric matrices without pivoting (1980)
  19. Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H.: An estimate for the condition number of a matrix (1979)
  20. Dongarra, J. J.; Hinds, A. R.: Unrolling loops in FORTRAN (1979)

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