TATB10 · 6 credits · Advanced level (A1N) · Matematik, Tillämpad matematik
Matrix Analysis
Active · next start HT 2026
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Who takes the course?
About the course
Aim
After completing the course the student should be able to communicate, apply, model, analyze and solve problems by using the concepts and methods described in the course content.
Content
Properties of matrix rank. Block matrices and Schur complement. Special matrices: Toeplitz, circulant, Vandermonde, Hankel, and Hessenberg matrices. Companion matrices. Real and complex canonical forms. Vector and matrix norms.
Eigenvalues: location, inequalities, perturbations, variational characterization.
Singular values: inequalities, variational characterization, low rank approximation for unitarily invariant norms.
Functions of matrices, power series. Matrix products: Kronecker, Hadamard and Khatri-Rao products. Linear and nonlinear matrix equations. Matrices of functions, matrix calculus and differentiation.
Multilinear algebra: rank, decomposition and approximation of tensors.
- Examiner
- Göran Bergqvist
- Scheduled hours
- 36 h
- Main field of study
- Matematik, Tillämpad matematik