BLAS

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 493 articles )

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  1. Fung, Samy Wu; Ruthotto, Lars: A multiscale method for model order reduction in PDE parameter estimation (2019)
  2. Lang, Bruno: Efficient reduction of banded Hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems (2019)
  3. Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef: The eigenvalues slicing library (EVSL): algorithms, implementation, and software (2019)
  4. Mohanty, Sraban Kumar; Sajith, G.: An input/output efficient algorithm for Hessenberg reduction (2019)
  5. 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)
  6. Tomás, Andrés E.; Quintana-Ortí, Enrique S.: Cholesky and Gram-Schmidt orthogonalization for tall-and-skinny QR factorizations on graphics processors (2019)
  7. Ungun, Baris; Xing, Lei; Boyd, Stephen: Real-time radiation treatment planning with optimality guarantees via cluster and bound methods (2019)
  8. 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)
  9. Duersch, Jed A.; Shao, Meiyue; Yang, Chao; Gu, Ming: A robust and efficient implementation of LOBPCG (2018)
  10. Erbay, Hasan; Varçin, Fatih; Horasan, Fahrettin; Biçer, Cenker: Block classical Gram-Schmidt-based block updating in low-rank matrix approximation (2018)
  11. Harlim, John; Yang, Haizhao: Diffusion forecasting model with basis functions from QR-decomposition (2018)
  12. Hegge, Torstein Storflor; Nesse, Torstein; Maradudin, Alexei A.; Simonsen, Ingve: The scattering of a scalar beam from isotropic and anisotropic two-dimensional randomly rough Dirichlet or Neumann surfaces: the full angular intensity distributions (2018)
  13. Huang, Jianyu; Matthews, Devin A.; van de Geijn, Robert A.: Strassen’s algorithm for tensor contraction (2018)
  14. Matthews, Devin A.: High-performance tensor contraction without transposition (2018)
  15. Aliaga, José I.; Carratalá-Sáez, Rocío; Quintana-Ortí, Enrique S.: Parallel solution of hierarchical symmetric positive definite linear systems (2017)
  16. Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio: Efficient and accurate algorithms for computing matrix trigonometric functions (2017)
  17. Belonosov, Mikhail; Dmitriev, Maxim; Kostin, Victor; Neklyudov, Dmitry; Tcheverda, Vladimir: An iterative solver for the 3D Helmholtz equation (2017)
  18. Bosner, Nela; Karlsson, Lars: Parallel and heterogeneous (m)-Hessenberg-triangular-triangular reduction (2017)
  19. Figueras, Jordi-Lluís; de la Llave, Rafael: Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation (2017)
  20. Gentle, James E.: Matrix algebra. Theory, computations and applications in statistics (2017)

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