Math 320, Spring 2015
Term-Paper Project Assignment
| Name |
Date & Time of Request |
Topic |
| CAN, BUĞRA | 3/20/2015 22:52 | Quadratic forms and Sylvester's law of Inertial for a finite-dimensional complex vector (Characterization, basic properties, examples) |
| GÜLER, UMUTCAN | 3/11/2015 20:40 | Perturbative solution of the eigenvalue problem for a self-adjoint operator (Characterization, basic properties, examples) |
| SARIGÜN, DORUK | 3/22/2015 23:24 | Matrix norms (Possible norms, their relation, applications, etc.) |
| SÜMEN, AYLİN CAN | 3/22/2015 20:27 | positive matrices (Characterization, basic properties, applications) |
| TÖMEKÇE, BİRCE SENA | 3/19/2015 21:48 | antilinear operators (Characterization, basic properties, applications) |
| YOLCU, EMRE | 3/23/2015 12:06 | A factorization of symmetric matrices: "Every (real or complex) symmetric matrix S may be factored as S=MT M where M is a square matrix and MT is the transpose of M." (proof, examples/numerical implementation) |
| ÇETİN, AHMET ALPAR | 3/23/2015 13:11 | Variational solution of the eigenvalue problem for a self-adjoint operator (Characterization, basic properties, examples) |
| ŞENGİL, ULUÇ | 3/24/2015 14:41 | A property of symmetric matrices: "Every square matrix is similar to a symmetric matrix." (proof, examples/numerical implementation) |
1. A factorization of symmetric matrices: "Every (real or complex) symmetric matrix S may be factored as S=MT M where M is a square matrix and MT is the transpose of M." (proof, examples/numerical implementation)
2. A property of symmetric matrices: "Every square matrix is similar to a symmetric matrix." (proof, examples/numerical implementation)
3. Positive matrices: Characterization, basic properties, applications
4. Matrix norms: Possible norms, their relation, applications, etc.
5. Quadratic forms and Sylvester's law of inertial for a finite-dimensional complex vector space: Characterization, basic properties, examples
6. Perturbative solution of the eigenvalue problem for a self-adjoint operator: Characterization, basic properties, examples
7. Variational solution of the eigenvalue problem for a self-adjoint operator: Characterization, basic properties, examples
8. Antilinear operators: Characterization, basic properties, applications