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Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2020-03, Vol.378 (2166), p.20190066-20190066

2020

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Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2020-11, Vol.476 (2243), p.1-30

2020

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Solving block low-rank linear systems by LU factorization is numerically stable

IMA journal of numerical analysis, 2022-04, Vol.42 (2), p.951-980

2022

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Anderson acceleration of the alternating projections method for computing the nearest correlation matrix

Numerical algorithms, 2016-08, Vol.72 (4), p.1021-1042

2016

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A Class of Fast and Accurate Summation Algorithms

SIAM journal on scientific computing, 2020-01, Vol.42 (3), p.A1541-A1557

2020

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Anymatrix: an extensible MATLAB matrix collection

Numerical algorithms, 2022-07, Vol.90 (3), p.1175-1196

2022

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Mixed precision algorithms in numerical linear algebra

The Scaling and Squaring Method for the Matrix Exponential Revisited

Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores

The scaling and squaring method for the matrix exponential revisited

Adaptive precision in block‐Jacobi preconditioning for iterative sparse linear system solvers

Stochastic rounding: implementation, error analysis and applications

A NEW SCALING AND SQUARING ALGORITHM FOR THE MATRIX EXPONENTIAL

A survey of numerical linear algebra methods utilizing mixed-precision arithmetic

A SCHUR-PADÉ ALGORITHM FOR FRACTIONAL POWERS OF A MATRIX

Numerical behavior of NVIDIA tensor cores

The Princeton Companion to Applied Mathematics

COMPUTING THE ACTION OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO EXPONENTIAL INTEGRATORS

Stochastic Rounding and Its Probabilistic Backward Error Analysis

Performance impact of precision reduction in sparse linear systems solvers

Backward Stability of Iterations for Computing the Polar Decomposition

Accurately computing the log-sum-exp and softmax functions

A New Approach to Probabilistic Rounding Error Analysis

Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data

Computing matrix functions

Numerical algorithms for high-performance computational science

Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems

Solving block low-rank linear systems by LU factorization is numerically stable

Anderson acceleration of the alternating projections method for computing the nearest correlation matrix

A Class of Fast and Accurate Summation Algorithms

Anymatrix: an extensible MATLAB matrix collection

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