| dc.contributor.advisor | Chandler, John P. | |
| dc.contributor.author | Chiang, Chin-Chieh | |
| dc.date.accessioned | 2013-11-26T08:21:40Z | |
| dc.date.available | 2013-11-26T08:21:40Z | |
| dc.date.issued | 2007-12 | |
| dc.identifier.uri | https://hdl.handle.net/11244/6485 | |
| dc.description.abstract | We present an iterative algorithm, called SCALGM, which asymptotically scales both rows and columns of any given matrix such that each element of the scaled matrix is in the interval [-1, 1] and the elements of minimum magnitude are maximized. The object is to make the condition number reasonably small, thus causing the pivoting process in Gaussian elimination to work well, and to diagnose any instability in the elimination process. Numerical evidence is presented showing the effectiveness of the algorithm. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.rights | Copyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material. | |
| dc.title | Scaling algorithms for matrices | |
| dc.contributor.committeeMember | Hedrick, G. E. | |
| dc.contributor.committeeMember | Mayfield, Blayne E. | |
| dc.contributor.committeeMember | Wright, David J. | |
| osu.filename | Chiang_okstate_0664D_2508 | |
| osu.accesstype | Open Access | |
| dc.type.genre | Dissertation | |
| dc.type.material | Text | |
| dc.subject.keywords | scaling | |
| dc.subject.keywords | equilibrated | |
| dc.subject.keywords | maximize the ratio | |
| dc.subject.keywords | closed path for extreme values | |
| thesis.degree.discipline | Computer Science | |
| thesis.degree.grantor | Oklahoma State University | |
