A formulation of the Hexad algorithm using the geometry of the Fano projective plane

Purser, Robert James

doi:10.25923/xrzp-x016

Advanced Search

Select up to three search categories and corresponding keywords using the fields to the right. Refer to the Help section for more detailed instructions.

Search our Collections & Repository

Advanced Search
Custom Query

All these words:

For very narrow results

This exact word or phrase:

When looking for a specific result

Any of these words:

Best used for discovery & interchangable words

None of these words:

Recommended to be used in conjunction with other fields

Language:

Dates

Publication Date Range:

to

Document Data

Title:

Document Type:

Library

Collection:

Series:

People

Author:

Clear All

Query Builder

Query box

Clear All

For additional assistance using the Custom Query please check out our Help Page

i

A formulation of the Hexad algorithm using the geometry of the Fano projective plane

2020
By Purser, Robert James
Series: Office note (National Centers for Environmental Prediction (U.S.)) ; 499

[PDF-235.28 KB]

Details You May Also Like

Details:

Personal Author:

Purser, Robert James
Corporate Authors:

National Centers for Environmental Prediction (U.S.)
NOAA Program & Office:

NWS (National Weather Service) ; NCEP (National Centers for Environmental Prediction)

NWS (National Weather Service) ; NCEP (National Centers for Environmental Prediction) Less -
Description:

We have described a new formulation of the ‘Hexad Algorithm’ for decomposing a given 3D symmetric positive-definite aspect tensor on a lattice into its six unique local line generators and corresponding projected rank-one aspect tensor contributions. The new formulation adheres strictly to the symmetries possessed by the associated Fano projective plane and Galois field, GF(8). A bonus of adopting these constraints is that the computer code in the new algorithm is relatively succinct. The motivation for this work has been to provide a supporting algorithmic framework for the production of a computationally efficient way to generate anisotropic and spatially inho-mogeneous covariances, initially for NOAAs new 3D RTMA, but also for more general data assimilation applications later.
Keywords:

[+]

Computer Science Mathematics Weather Forecasting
Series:

Office note (National Centers for Environmental Prediction (U.S.)) ; 499
DOI:

https://doi.org/10.25923/xrzp-x016
Document Type:

Office Note
Rights Information:

Public Domain
Compliance:

Submitted
Main Document Checksum:

[+]

urn:sha256:a694f7d8db04fa92d40d5791ad145e7f4b24a1a006ca01782f83500fee83f156
Download URL:

https://repository.library.noaa.gov/view/noaa/23059/noaa_23059_DS1.pdf
File Type:

No Additional Files

More +

A formulation of the Hexad algorithm using the geometry of the Fano projective plane

Details:

Supporting Files

You May Also Like