Low-level utilities common to many mathematical software packages. Primarily the Fortran BLAS (Basic Linear Algebra Subroutines) collected together by level (1, 2 and 3) and precision (real, double, complex, double complex). Also includes specialized BLAS implementations, the PORT machine-dependent constant routines, and the MACHAR software for dynamically determining machine-dependent arithmetic properties

References in zbMATH (referenced in 496 articles )

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  1. Demmel, James W.; Higham, Nicholas J.: Stability of block algorithms with fast level-3 BLAS (1992)
  2. Dongarra, Jack J.; van de Geijn, Robert A.: Reduction to condensed form for the eigenvalue problem on distributed memory architectures (1992)
  3. Higham, Nicholas J.: Stability of a method for multiplying complex matrices with three real matrix multiplications (1992)
  4. Koç, Çetin K.; Gan, Seng C.: Parallel matrix multiplication on networked microcomputers (1992)
  5. Lioen, Walter M.; Winter, Dik T.: Solving large dense systems of linear equations on systems with virtual memory and with cache (1992)
  6. Louter-Nool, Margreet: Block-Cholesky for parallel processing (1992)
  7. Luecke, Glenn R.; Yun, Jae Heon; Smith, Philip W.: Performance of parallel Cholesky factorization algorithms using BLAS (1992)
  8. Mayo, A.; Greenbaum, A.: Fast parallel iterative solution of Poisson’s and the biharmonic equations on irregular regions (1992)
  9. Paprzychi, M.; Gladwell, I.: Using level 3 BLAS to solve almost block diagonal systems (1992)
  10. Paprzycki, Marcin: Comparisons of Gaussian elimination algorithms on a Cray Y-MP (1992)
  11. Puglisi, Chiara: Modification of the Householder method based on the compact WY representation (1992)
  12. Sheikh, Qasim; Vu, Phuong; Yang, Chao; Merchant, Michael: Implementation of the level 2 and 3 BLAS on the CRAY Y-MP and the CRAY-2 (1992) ioport
  13. Bailey, David H.; Lee, King; Simon, Horst D.: Using Strassen’s algorithm to accelerate the solution of linear systems (1991)
  14. Dodson, David S.; Grimes, Roger G.; Lewis, John G.: Sparse extensions to the FORTRAN basic linear algebra subprograms (1991)
  15. Pan, Victor; Schreiber, Robert: An improved Newton iteration for the generalized inverse of a matrix, with applications (1991)
  16. Paprzyck, Marcin; Gladwell, Ian: Solving almost block diagonal systems on parallel computers (1991)
  17. Zenios, Stavros A.; Censor, Yair: Parallel computing with block-iterative image reconstruction algorithms (1991)
  18. Brankin, R. W.; Gladwell, I.: Codes for almost block diagonal systems (1990)
  19. Davis, Timothy A.; Yew, Pen-Chung: A nondeterministic parallel algorithm for general unsymmetric sparse LU factorization (1990)
  20. Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain: A set of level 3 basic linear algebra subprograms (1990)

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