نتائج البحث

The Power of Bidiagonal Matrices

• Authors : Higham, Nicholas J.

Subjects: Mathematics - Numerical Analysis; 15A06, 15A12, 15A23, 65F35

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Integer matrix factorisations, superalgebras and the quadratic form obstruction

• Authors : Higham, Nicholas J.; Lettington, Matthew C.; Schmidt, Karl Michael

Subjects: Mathematics - Number Theory; 15A23, 15CA30, 11H55, 05B15

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A modular framework for the backward error analysis of GMRES

• Authors : Buttari, Alfredo; Higham, Nicholas, J; Mary, Théo ...

Subjects: Iterative solvers; GMRES; Rounding error analysis

• Source: https://hal.science/hal-04525918 ; 2024.

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A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic

• Authors : Abdelfattah, Ahmad; Anzt, Hartwig; Boman, Erik G.

Subjects: Computer Science - Mathematical Software; Mathematics - Numerical Analysis; G.1.3

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Accurate Computation of the Log-Sum-Exp and Softmax Functions

• Authors : Blanchard, Pierre; Higham, Desmond J.; Higham, Nicholas J.

Subjects: Mathematics - Numerical Analysis; 97N20; G.1.3

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Numerical behavior of NVIDIA tensor cores

• Authors : Fasi, Massimiliano, 1989; Higham, Nicholas J.; Mikaitis, Mantas

Subjects: NVIDIA V100 GPU; NVIDIA T4 GPU; Tensor core

• Source: PeerJ Computer Science. 7:1-19

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Generating extreme-scale matrices with specified singular values or condition numbers

• Authors : Fasi, Massimiliano, 1989; Higham, Nicholas J.

Subjects: test matrix; random matrix; randsvd

• Source: SIAM Journal on Scientific Computing. 43(1):A663-A684

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Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization

• Authors : Fasi, Massimiliano, 1989; Higham, Nicholas J.

Subjects: test matrix; infinity-norm condition number; HPL-AI Mixed-Precision Benchmark

• Source: SIAM Journal on Matrix Analysis and Applications. 42(1):417-435

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Combining sparse approximate factorizations with mixed precision iterative refinement

• Authors : Amestoy, Patrick; Buttari, Alfredo; Higham, Nicholas, J ...

Subjects: iterative refinement; GMRES; linear system

• Source: ISSN: 0098-3500 ; ACM Transactions on Mathematical Software ; https://hal.science/hal-03536031 ; ACM Transactions on Mathematical Software, 2023, 49 (1), pp.1-29. ⟨10.1145/3582493⟩.

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Etymo: A New Discovery Engine for AI Research

• Authors : Zhang, Weijian; Deakin, Jonathan; Higham, Nicholas J.

Subjects: Computer Science - Information Retrieval; Computer Science - Artificial Intelligence; Computer Science - Social and Information Networks

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