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Title: Approximate error conjugation gradient minimization methods

Abstract

In one embodiment, a method includes selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, calculating an approximate error using the subset of rays, and calculating a minimum in a conjugate gradient direction based on the approximate error. In another embodiment, a system includes a processor for executing logic, logic for selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, logic for calculating an approximate error using the subset of rays, and logic for calculating a minimum in a conjugate gradient direction based on the approximate error. In other embodiments, computer program products, methods, and systems are described capable of using approximate error in constrained conjugate gradient minimization problems.

Inventors:
Issue Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1083968
Patent Number(s):
8447565
Application Number:
12/795,560
Assignee:
Lawrence Livermore National Security, LLC (Livermore, CA)
Patent Classifications (CPCs):
G - PHYSICS G06 - COMPUTING G06T - IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
DOE Contract Number:  
AC52-07NA27344
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Kallman, Jeffrey S. Approximate error conjugation gradient minimization methods. United States: N. p., 2013. Web.
Kallman, Jeffrey S. Approximate error conjugation gradient minimization methods. United States.
Kallman, Jeffrey S. Tue . "Approximate error conjugation gradient minimization methods". United States. https://www.osti.gov/servlets/purl/1083968.
@article{osti_1083968,
title = {Approximate error conjugation gradient minimization methods},
author = {Kallman, Jeffrey S},
abstractNote = {In one embodiment, a method includes selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, calculating an approximate error using the subset of rays, and calculating a minimum in a conjugate gradient direction based on the approximate error. In another embodiment, a system includes a processor for executing logic, logic for selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, logic for calculating an approximate error using the subset of rays, and logic for calculating a minimum in a conjugate gradient direction based on the approximate error. In other embodiments, computer program products, methods, and systems are described capable of using approximate error in constrained conjugate gradient minimization problems.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue May 21 00:00:00 EDT 2013},
month = {Tue May 21 00:00:00 EDT 2013}
}

Works referenced in this record:

A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
journal, January 2005


Conjugate Gradient Methods with Inexact Searches
journal, August 1978


Iterative inverse scattering algorithms: Methods of computing Fréchet derivatives
journal, November 1999