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Personal profile

Research interests

My research interests are in numerical linear algebra, data assimilation and inverse problems.

In particular I am interested in iterative methods for eigenvalue problems and linear systems, Krylov subspace methods, matrix theory and applications.

I am a member of the Numerical Analysis Group in Bath and if you want to find out more about myself, my current research, my publications and other work I do at Bath (and beyond), please have a look at my homepage.

 

 

Keywords

  • Numerical Linear Algebra
  • Krylov Subspace Methods
  • Iterative Methods
  • Eigenvalue Problems
  • Linear Systems
  • Matrix Theory
  • Model Order Reduction
  • Inverse Problems
  • Image Processing
  • Data Assimilation
  • Matrix Equations

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

  • 2 Similar Profiles
Inverse Iteration Mathematics
Eigenvalue Problem Mathematics
Preconditioner Mathematics
Jacobi-Davidson Method Mathematics
Numerical Linear Algebra Mathematics
Rayleigh Quotient Iteration Mathematics
Linear systems Engineering & Materials Science
Inverse Problem Mathematics

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Projects 2008 2018

Research Output 2005 2018

assimilation
saddle points
Advection
linear systems
advection

GMRES convergence bounds for eigenvalue problems

Freitag, M., Kürschner, P. & Pestana, J. 20 Sep 2016 In : Journal of Computational and Applied Mathematics.

Research output: Contribution to journalArticle

Open Access
File
GMRES
Eigenvalue Problem
Linear systems
Polynomials
Preconditioner
1 Citations

The effect of numerical model error on data assimilation

Jenkins, S., Smith, N., Budd, C. & Freitag, M. 15 Dec 2015 In : Journal of Computational and Applied Mathematics. 290, p. 567-588

Research output: Contribution to journalArticle

Open Access
File
Data Assimilation
Model Error
Initialization
Numerical models
Finite Difference Scheme

Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration

Freitag, M. A. & Kürschner, P. 1 Jan 2015 In : Numerical Linear Algebra with Applications. 22, 1, p. 175-196 22 p.

Research output: Contribution to journalArticle

Open Access
File
Rayleigh Quotient Iteration
Preconditioner
Tuning
Jacobi-Davidson Method
Krylov Methods
5 Citations

Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method

Freitag, M. A., Spence, A. & Van Dooren, P. 2014 In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 35, 2, p. 619-635 17 p.

Research output: Contribution to journalArticle

Open Access
File
Determinant
Norm
Linear Systems
Jordan Block
Hamiltonian Matrix