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 LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.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 433 articles , 1 standard article )

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  1. Chen, Cheng; Fang, Jianbin; Tang, Tao; Yang, Canqun: LU factorization on heterogeneous systems: an energy-efficient approach towards high performance (2017)
  2. Dunning, Iain; Huchette, Joey; Lubin, Miles: JuMP: a modeling language for mathematical optimization (2017)
  3. Echebest, N.; Schuverdt, M.L.; Vignau, R.P.: An inexact restoration derivative-free filter method for nonlinear programming (2017)
  4. Gentle, James E.: Matrix algebra. Theory, computations and applications in statistics (2017)
  5. Wang, Wei-Guo; Wei, Yimin: Mixed and componentwise condition numbers for matrix decompositions (2017)
  6. Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A.: Linear algebra software for large-scale accelerated multicore computing (2016)
  7. Chen, Yuxin; Keyes, David; Law, Kody J.H.; Ltaief, Hatem: Accelerated dimension-independent adaptive metropolis (2016)
  8. Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol: A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin (2016)
  9. Xue, Dingyü; Chen, YangQuan: Scientific computing with MATLAB (2016)
  10. Blesgen, Thomas: On rotation deformation zones for finite-strain Cosserat plasticity (2015)
  11. Grewal, Mohinder S.; Andrews, Angus P.: Kalman filtering. Theory and practice with MATLAB (2015)
  12. Park, Sungwoo; O’Leary, Dianne P.: A polynomial time constraint-reduced algorithm for semidefinite optimization problems (2015)
  13. Scherer, C.S.: An analytical approach to the strong evaporation problem in rarefied gas dynamics (2015)
  14. Bosner, Nela: Balancing three matrices in control theory (2014)
  15. Capiez-Lernout, E.; Soize, C.; Mignolet, M.-P.: Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation (2014)
  16. Castaño, Fabian; Rossi, André; Sevaux, Marc; Velasco, Nubia: A column generation approach to extend lifetime in wireless sensor networks with coverage and connectivity constraints (2014)
  17. D’Azevedo, Eduardo; Hu, Zhiang; Su, Shi-Quan; Wong, Kwai: Solving a large scale radiosity problem on GPU-based parallel computers (2014)
  18. Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola: Numerical mathematics (2014)
  19. Sewell, Granville: Computational methods of linear algebra (2014)
  20. Thomas, Barrett W.; Manni, Emanuele: Scheduled penalty variable neighborhood search (2014)

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