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 480 articles )

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  1. Iakymchuk, Roman; Barreda, Maria; Wiesenberger, Matthias; Aliaga, José I.; Quintana-Ortí, Enrique S.: Reproducibility strategies for parallel preconditioned conjugate gradient (2020)
  2. Sauk, Benjamin; Ploskas, Nikolaos; Sahinidis, Nikolaos: GPU parameter tuning for tall and skinny dense linear least squares problems (2020)
  3. Amestoy, Patrick R.; de la Kethulle de Ryhove, Sébastien; L’Excellent, Jean-Yves; Moreau, Gilles; Shantsev, Daniil V.: Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems (2019)
  4. Amestoy, Patrick R.; L’Excellent, Jean-Yves; Moreau, Gilles: On exploiting sparsity of multiple right-hand sides in sparse direct solvers (2019)
  5. Barlow, Jesse L.: Block modified Gram-Schmidt algorithms and their analysis (2019)
  6. Bosse, Torsten: (Almost) matrix-free solver for piecewise linear functions in abs-normal form. (2019)
  7. Bylina, Beata; Bylina, Jarosław: The parallel tiled WZ factorization algorithm for multicore architectures (2019)
  8. De Terán, Fernando; Iannazzo, Bruno; Poloni, Federico; Robol, Leonardo: Nonsingular systems of generalized Sylvester equations: an algorithmic approach. (2019)
  9. Du, Cheng-Han; Chiou, Yih-Peng; Wang, Weichung: Compressed hierarchical Schur algorithm for frequency-domain analysis of photonic structures (2019)
  10. Farzin, Saeed; Fatehi, Rouhollah; Hassanzadeh, Yousef: Position explicit and iterative implicit consistent incompressible SPH methods for free surface flow (2019)
  11. Fung, Samy Wu; Ruthotto, Lars: A multiscale method for model order reduction in PDE parameter estimation (2019)
  12. Lang, Bruno: Efficient reduction of banded Hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems (2019)
  13. Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef: The eigenvalues slicing library (EVSL): algorithms, implementation, and software (2019)
  14. Mohanty, Sraban Kumar; Sajith, G.: An input/output efficient algorithm for Hessenberg reduction (2019)
  15. Rodríguez-Sánchez, Rafael; Catalán, Sandra; Herrero, José R.; Quintana-Ortí, Enrique S.; Tomás, Andrés E.: Look-ahead in the two-sided reduction to compact band forms for symmetric eigenvalue problems and the SVD (2019)
  16. Tomás, Andrés E.; Quintana-Ortí, Enrique S.: Cholesky and Gram-Schmidt orthogonalization for tall-and-skinny QR factorizations on graphics processors (2019)
  17. Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro: The singular value decomposition: anatomy of optimizing an algorithm for extreme scale (2018)
  18. Duersch, Jed A.; Shao, Meiyue; Yang, Chao; Gu, Ming: A robust and efficient implementation of LOBPCG (2018)
  19. Erbay, Hasan; Varçin, Fatih; Horasan, Fahrettin; Biçer, Cenker: Block classical Gram-Schmidt-based block updating in low-rank matrix approximation (2018)
  20. Harlim, John; Yang, Haizhao: Diffusion forecasting model with basis functions from QR-decomposition (2018)

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