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07/08/2023
Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning
Hardware trends have motivated the development of mixed precision algo-r...
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06/09/2023
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
The multigrid V-cycle method is a popular method for solving systems of ...
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05/30/2023
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems
With the recent emergence of mixed precision hardware, there has been a ...
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03/21/2023
The stability of split-preconditioned FGMRES in four precisions
We consider the split-preconditioned FGMRES method in a mixed precision ...
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11/02/2022
70 years of Krylov subspace methods: The journey continues
Using computed examples for the Conjugate Gradient method and GMRES, we ...
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10/17/2022
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt
Using lower precision in algorithms can be beneficial in terms of reduci...
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05/26/2022
Single-pass Nyström approximation in mixed precision
Low rank matrix approximations appear in a number of scientific computin...
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05/16/2022
Post-Modern GMRES
The GMRES algorithm of Saad and Schultz (1986) for nonsymmetric linear s...
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02/21/2022
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning
With the commercial availability of mixed precision hardware, mixed prec...
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01/24/2022
Mixed Precision GMRES-based Iterative Refinement with Recycling
With the emergence of mixed precision capabilities in hardware, iterativ...
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07/13/2021
Multistage Mixed Precision Iterative Refinement
Low precision arithmetic, in particular half precision (16-bit) floating...
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03/16/2021
Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms
Compared to the classical Lanczos algorithm, the s-step Lanczos variant ...
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10/22/2020
An overview of block Gram-Schmidt methods and their stability properties
Block Gram-Schmidt algorithms comprise essential kernels in many scienti...
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07/13/2020
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
Within the past years, hardware vendors have started designing low preci...
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01/15/2017