MATH40390 Advanced Matrix Theory

Academic Year 2012/2013

Nonnegative matrices are the main objects of this course. We will explore their algebraic, geometric and combinatorial properties and introduce some applications.

The topics will include: Spectral Properties of Nonnegative matrices (Perron Frobenius Theory, Nonnegative Inverse Eigenvalue Problem), Classes of Nonnegative matrices (Stohastic Matrices, Doubly Stohastic Matrices, Totally Nonnegative Matrices, M-matrices, Completelly Positive Matrices), Stable Matrices (Lyapunov's Theorem, Semidefinite Programming)

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Curricular information is subject to change

Learning Outcomes:

Students will be able to recognize the situations where different classes of nonnegative matrices arise and understand their properties.

Student Effort Hours: 
Student Effort Type Hours
Lectures

36
Tutorial

12
Specified Learning Activities

34
Autonomous Student Learning

118
Total

200
 
Requirements, Exclusions and Recommendations

Not applicable to this module.



 
Description % of Final Grade Timing
Examination: End of year exam

70

 2 hour End of Trimester Exam
Continuous Assessment: Homework/Presentations

30

 Unspecified

Compensation

This module is passable by compensation

Resit Opportunities

End of Semester Exam

Remediation

If you fail this module you may repeat, resit or substitute where permissible