Available online
Description
This programme explains the significance of the eigenvalue problem, it then discusses how the problem could be solved using determinants, a method inappropriate to 'large' problems. The programme t...hen shows how iterative methods are more economical and can be used to find the largest or smallest eigenvalue (direct iteration) or any eigenvalue (inverse iteration). The programme concludes by discussing how a matrix can be reduced to 'triple diagonal form', and it's eigenvalues found.
This programme explains the significance of the eigenvalue problem, it then discusses how the problem could be solved using determinants, a method inappropriate to 'large' problems. The programme t...hen shows how iterative methods are more economical and can be used to find the largest or smallest eigenvalue (direct iteration) or any eigenvalue (inverse iteration). The programme concludes by discussing how a matrix can be reduced to 'triple diagonal form', and it's eigenvalues found.
| Module code and title: | M201, Linear mathematics |
|---|---|
| Item code: | M201; 30 |
| First transmission date: | 20-08-1972 |
| Published: | 1972 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:27 |
| + Show more... | |
| Producer: | Ted Smith |
| Contributors: | Ian Dey; L.(Leslie) Fox |
| Publisher: | BBC Open University |
| Keyword(s): | Determinants; Eigenvalue problem; Iterative method; Matrices; Triple diagonal form |
| Master spool number: | 6HT/70615 |
| Production number: | 00525_4014 |
| Videofinder number: | 3929 |
| Available to public: | no |
