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  • 1-10 of  189 نتائج ل ""Rounding error analysis""

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Academic Journal

Five-Precision GMRES-based iterative refinement

Subjects: iterative refinement; GMRES; linear system

  • Source: ISSN: 0895-4798.

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Academic Journal

Adaptive precision sparse matrix-vector product and its application to Krylov solvers

Subjects: mixed precision; adaptive precision; multiple precision

  • Source: ISSN: 1064-8275 ; SIAM Journal on Scientific Computing ; https://hal.science/hal-03561193 ; SIAM Journal on Scientific Computing, 2024, 46 (1), pp.C30-C56. ⟨10.1137/22M1522619⟩.

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Useful applications of correctly-rounded operators of the form ab + cd + e

Subjects: dot-product instructions; complex arithmetic; double-word arithmetic

  • Source: https://inria.hal.science/hal-04461089 ; 2024.

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Error analysis of the Gram low-rank approximation (and why it is not as unstable as one may think)

Subjects: low-rank approximation; Gram matrix; finite precision arithmetic

  • Source: https://hal.science/hal-04554516 ; 2024.

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A modular framework for the backward error analysis of GMRES

Subjects: Iterative solvers; GMRES; Rounding error analysis

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

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Condense & Distill: fast distillation of large floating-point sums via condensation

Subjects: summation; floating-point arithmetic; rounding error analysis

  • Source: https://hal.science/hal-04507609 ; 2024.

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Academic Journal

Combining sparse approximate factorizations with mixed precision iterative refinement

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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Academic Journal

Adaptive precision sparse matrix-vector product and its application to Krylov solvers

Subjects: mixed precision; adaptive precision; multiple precision

  • Source: ISSN: 1064-8275 ; SIAM Journal on Scientific Computing ; https://hal.science/hal-03561193 ; SIAM Journal on Scientific Computing, In press.

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Academic Journal

Stochastic rounding: implementation, error analysis and applications

Subjects: floating-point arithmetic; rounding error analysis; IEEE 754

  • Source: Royal Society Open Science, Vol 9, Iss 3 (2022)

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Academic Journal

Mixed Precision Low Rank Approximations and their Application to Block Low Rank LU Factorization

Subjects: numerical linear algebra; rounding error analysis; floating-point arithmetic

  • Source: ISSN: 0272-4979.

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  • 1-10 of  189 نتائج ل ""Rounding error analysis""