Title of Project:<\/b>
\nEigenvalue Problems for (large) Matrices
\nCode: <\/b>MM2122A
\nSupervisor: <\/b>Professor Marco Marletta
\nProject description:<\/b>
\nThis project is about solving the matrix eigenvalue problem Au = \u03bbu<\/i>. The
\nultimate aim is to deal with the case when A<\/i> is a large sparse matrix, but the
\nstudent will rst study methods which are used for full matrices. For sparse
\nmatrices, it will involve studying numerical methods which exploit the sparsity
\npatter, together with possible additional properties such as being Hermitian.
\nMany of the algorithms to be studied are described in `Matrix Computations’
\nby Golub and Van Loan, and are implemented in software packages such as
\nLAPACK and ARPACK. The ability to programme in a suitable language such
\nas MATLAB or Python will be important. Special methods for PDEs will also
\nbe studied if time permits.
\nPrerequisite 2nd year modules:<\/b>
\nNone
\nRecommended 3rd year module for concurrent study:<\/b>
\nNone
\nNumber of students who can be supervised on this project:<\/b>
\n1<\/p>\n","protected":false},"excerpt":{"rendered":"
Title of Project: Eigenvalue Problems for (large) Matrices Code: MM2122A Supervisor: Professor Marco Marletta Project description: This project is about solving the matrix eigenvalue problem Au = \u03bbu. The ultimate aim is to deal with the case when A is a large sparse matrix, but the student will rst study methods which are used for full matrices. … Continue reading Eigenvalue Problems for (Large) Matrices – Supervisor: Prof. M. Marletta<\/span>