Newton's Method in Mixed Precision

Kelley, C. T.

doi:10.1137/20m1342902

Newton's Method in Mixed Precision

Journal Article · 01 February 2022 · SIAM Review

DOI:https://doi.org/10.1137/20m1342902· OSTI ID:1980766

Not provided.

Research Organization:: Oregon State Univ., Corvallis, OR (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

DOE Contract Number:: NA0003967

OSTI ID:: 1980766

Journal Information:: SIAM Review, Vol. 64, Issue 1; ISSN 0036-1445

Publisher:: Society for Industrial and Applied Mathematics

Country of Publication:: United States

Language:: English

References (12)

A Mesh-Independence Principle for Operator Equations and Their Discretizations Allgower, E. L.; Böhmer, K.; Potra, F. A. SIAM Journal on Numerical Analysis, Vol. 23, Issue 1 https://doi.org/10.1137/0723011	journal	February 1986
Newton’s Method at Singular Points. I Decker, D. W.; Kelley, C. T. SIAM Journal on Numerical Analysis, Vol. 17, Issue 1 https://doi.org/10.1137/0717009	journal	February 1980
Sublinear convergence of the Chord method at singular points Decker, D. W.; Kelley, C. T. Numerische Mathematik, Vol. 42, Issue 2 https://doi.org/10.1007/BF01395307	journal	June 1983
Inexact Newton Methods Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond SIAM Journal on Numerical Analysis, Vol. 19, Issue 2 https://doi.org/10.1137/0719025	journal	April 1982
A New Approach to Probabilistic Rounding Error Analysis Higham, Nicholas J.; Mary, Theo SIAM Journal on Scientific Computing, Vol. 41, Issue 5 https://doi.org/10.1137/18M1226312	journal	January 2019
Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems Higham, Nicholas J.; Pranesh, Srikara; Zounon, Mawussi SIAM Journal on Scientific Computing, Vol. 41, Issue 4 https://doi.org/10.1137/18M1229511	journal	January 2019
Probabilistic Error Analysis for Inner Products Ipsen, Ilse C. F.; Zhou, Hua SIAM Journal on Matrix Analysis and Applications, Vol. 41, Issue 4 https://doi.org/10.1137/19M1270434	journal	January 2020
Mesh Independence of Newton-like Methods for Infinite Dimensional Problems Kelley, C. T.; Sachs, E. W. Journal of Integral Equations and Applications, Vol. 3, Issue 4 https://doi.org/10.1216/jiea/1181075649	journal	December 1991
On acceleration methods for coupled nonlinear elliptic systems Kerkhoven, T.; Saad, Y. Numerische Mathematik, Vol. 60, Issue 1 https://doi.org/10.1007/BF01385735	journal	December 1991
Jacobian-free Newton–Krylov methods: a survey of approaches and applications Knoll, D. A.; Keyes, D. E. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.08.010	journal	January 2004
Some probability distributions for neutron transport in a half-space Mullikin, T. W. Journal of Applied Probability, Vol. 5, Issue 2 https://doi.org/10.2307/3212258	journal	August 1968
Newton's Method for Monte Carlo--Based Residuals Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. SIAM Journal on Numerical Analysis, Vol. 53, Issue 4 https://doi.org/10.1137/130905691	journal	January 2015

Similar Records

Efficient Projection onto the $\ell_{\infty,1}$ Mixed-Norm Ball Using a Newton Root Search Method

Journal Article · 2019 · SIAM Journal on Imaging Sciences · OSTI ID:1530780

Chau, Gustavo; Wohlberg, Brendt Egon; Rodriguez, Paul

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

Journal Article · 2021 · International Journal of High Performance Computing Applications · OSTI ID:1825849

Abdelfattah, Ahmad; Anzt, Hartwig; Boman, Erik G.; +18 more

Related Subjects

Mathematics

Newton's Method in Mixed Precision

Citation Formats

References (12)

Similar Records

Related Subjects