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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.




  • 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 Dive into the research topics where Melina Freitag is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 5 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

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2008 2018

Research Output 2005 2019

Teaching of computing to mathematics students: Programming and discrete mathematics

Betteridge, J., Davenport, J. H., Freitag, M., Heijtljes, W., Kynaston, S., Sankaran, G. & Traustason, G., 9 Jan 2019, Proceedings of the 3rd Conference on Computing Education Practice, CEP 2019. Association for Computing Machinery, 12

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)
Open Access
saddle points
linear systems

Balanced model order reduction for linear random dynamical systems driven by Lévy noise

Redmann, M. & Freitag, M. A., 1 Dec 2018, In : Journal of Computational Dynamics. 5, 1 & 2, p. 33-59 27 p.

Research output: Contribution to journalArticle

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
Eigenvalue Problem
Linear systems
2 Citations (Scopus)

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
Data Assimilation
Model Error
Numerical models
Finite Difference Scheme


Inner-outer Iterative Methods for Eigenvalue Problems - Convergence and Preconditioning

Author: Freitag, M., 1 Sep 2007

Supervisor: Spence, A. (Supervisor)

Student thesis: Doctoral ThesisPhD


Numerical Model Error in Data Assimilation

Author: Jenkins, S., 25 May 2015

Supervisor: Smith, N. (Supervisor), Budd, C. (Supervisor) & Freitag, M. (Supervisor)

Student thesis: Doctoral ThesisPhD