# 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:

- Publication Date:

- Research Org.:
- LLNL (Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States))

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1083968

- Patent Number(s):
- 8,447,565

- Application Number:
- 12/795,560

- Assignee:
- Lawrence Livermore National Security, LLC (Livermore, CA) LLNL

- 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}

}