A note on comprehensive backward biorthogonalization
We present a backward biorthogonalization technique for giving an orthogonal projection of a biorthogonal expansion onto a smaller subspace, reducing the dimension of the initial space by dropping d basis functions. We also determine which basis functions should be dropped to minimize the L2 distanc...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/87392 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545491596869632 |
|---|---|
| author | David K. Ruch |
| author_facet | David K. Ruch |
| author_sort | David K. Ruch |
| collection | DOAJ |
| description | We present a backward biorthogonalization technique for giving an orthogonal projection of a biorthogonal expansion onto a smaller subspace, reducing the dimension of the initial space by dropping d basis functions. We also determine which basis functions should be dropped to minimize the L2 distance between
a given function and its projection. This generalizes some results in [3]. |
| format | Article |
| id | doaj-art-2f532be2818148869031fdf8fa95344f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2f532be2818148869031fdf8fa95344f2025-02-03T07:25:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8739287392A note on comprehensive backward biorthogonalizationDavid K. Ruch0Department of Mathematical and Computer Sciences, Metropolitan State College of Denver, University of Northern Colorado, Denver 80217-3362, CO, USAWe present a backward biorthogonalization technique for giving an orthogonal projection of a biorthogonal expansion onto a smaller subspace, reducing the dimension of the initial space by dropping d basis functions. We also determine which basis functions should be dropped to minimize the L2 distance between a given function and its projection. This generalizes some results in [3].http://dx.doi.org/10.1155/IJMMS/2006/87392 |
| spellingShingle | David K. Ruch A note on comprehensive backward biorthogonalization International Journal of Mathematics and Mathematical Sciences |
| title | A note on comprehensive backward biorthogonalization |
| title_full | A note on comprehensive backward biorthogonalization |
| title_fullStr | A note on comprehensive backward biorthogonalization |
| title_full_unstemmed | A note on comprehensive backward biorthogonalization |
| title_short | A note on comprehensive backward biorthogonalization |
| title_sort | note on comprehensive backward biorthogonalization |
| url | http://dx.doi.org/10.1155/IJMMS/2006/87392 |
| work_keys_str_mv | AT davidkruch anoteoncomprehensivebackwardbiorthogonalization AT davidkruch noteoncomprehensivebackwardbiorthogonalization |