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 439 articles )

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  1. Aliaga, José I.; Carratalá-Sáez, Rocío; Quintana-Ortí, Enrique S.: Parallel solution of hierarchical symmetric positive definite linear systems (2017)
  2. Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio: Efficient and accurate algorithms for computing matrix trigonometric functions (2017)
  3. Belonosov, Mikhail; Dmitriev, Maxim; Kostin, Victor; Neklyudov, Dmitry; Tcheverda, Vladimir: An iterative solver for the 3D Helmholtz equation (2017)
  4. Bosner, Nela; Karlsson, Lars: Parallel and heterogeneous $m$-Hessenberg-triangular-triangular reduction (2017)
  5. Figueras, Jordi-Lluís; de la Llave, Rafael: Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation (2017)
  6. Gentle, James E.: Matrix algebra. Theory, computations and applications in statistics (2017)
  7. Glinskiy, Boris; Kuchin, Nikolay; Kostin, Victor; Solovyev, Sergey: Parallel computations for solving 3D Helmholtz problem by using direct solver with low-rank approximation and HSS technique (2017)
  8. Gupta, Anshul: Enhancing performance and robustness of ILU preconditioners by blocking and selective transposition (2017)
  9. Harizanov, Stanislav; Lirkov, Ivan; Georgiev, Krassimir; Paprzycki, Marcin; Ganzha, Maria: Performance analysis of a parallel algorithm for restoring large-scale CT images (2017)
  10. Huismann, Immo; Stiller, Jörg; Fröhlich, Jochen: Factorizing the factorization -- a spectral-element solver for elliptic equations with linear operation count (2017)
  11. Ji, Hao; Li, Yaohang: Block conjugate gradient algorithms for least squares problems (2017)
  12. Martinsson, Per-Gunnar; Quintana Ortí, Gregorio; Heavner, Nathan; van de Geijn, Robert: Householder QR factorization with randomization for column pivoting (HQRRP) (2017)
  13. Pichon, Gregoire; Faverge, Mathieu; Ramet, Pierre; Roman, Jean: Reordering strategy for blocking optimization in sparse linear solvers (2017)
  14. QuanSheng Wu, ShengNan Zhang, Hai-Feng Song, Matthias Troyer, Alexey A. Soluyanov: WannierTools: An open-source software package for novel topological materials (2017) arXiv
  15. 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)
  16. Abdelfattah, Ahmad; Keyes, David; Ltaief, Hatem: KBLAS: an optimized library for dense matrix-vector multiplication on GPU accelerators (2016)
  17. Chohra, Chemseddine; Langlois, Philippe; Parello, David: Efficiency of reproducible level 1 BLAS (2016)
  18. Einkemmer, Lukas: A resistive magnetohydrodynamics solver using modern C++ and the Boost library (2016)
  19. Hager, William W.; Zhang, Hongchao: Projection onto a polyhedron that exploits sparsity (2016)
  20. Jessup, Elizabeth; Motter, Pate; Norris, Boyana; Sood, Kanika: Performance-based numerical solver selection in the Lighthouse framework (2016)

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