MAT 339E  Matrix Theory and Applications
Course Objectives
1To give ability about coding and calculation of the matrices in MATLAB.
2To teach the general knowledge about the matrix polynomials,
3To teach the general knowledge about the matrix functions,
4To give ability about the analytical calculation of the matrix functions, especially the matrices e^At and (sIA)^1,
5To give ability to solve the system of differential equations in terms of matrix functions.
Course Description
Inner product on complex vector spaces, hermitian, unitary matrices, generalized eigenvectors, vector and matrix norms, computations in matlab. Matrix Polynomials; Elementary operations for matrix polynomials, equivalence, annihilating, characteristic, minimal and invariant polynomials. Normal Forms; the Smith canonical form, similarity, the first normal form, elementary divisors, the second normal form and Jordan canonical form. Functions of Matrices; Lagrange and Hermite interpolatory polynomials, definitions, properties and spectral solutions of functions of matrices, solutions of the system of differantial equations by matrix fuctions.


Course Coordinator
Ulviye Ilgaz
Course Language
English


