Emre Mengi
Assistant Professor
Department of Mathematics
Koç University


Research Interests :
  • numerical linear algebra
  • numerical optimization
  • perturbation theory of eigenvalues
  • eigenvalue optimization

Teaching (Fall 2011)

Latest, Research Related
  • November 27, 2011 : Eigopt - initial versions of the software for eigenvalue optimization
  • September 12, 2011 : Manuscript on the numerical optimization of eigenvalues of Hermitian matrix functions; joint with Kilic, Yildirim
  • July 20, 2011 : Slides of my talk at the ICIAM meeting
  • June 21, 2011 : Paper on pencils with specified eigenvalues; joint with Kressner, Nakic, Truhar (submitted to IMA J Num Anal)
  • June 14, 2011 : Slides of my talk at the Householder Symposium
 

Contact :
SCI  114, Koç University, Department of Mathematics
Rumelifeneri Yolu 34450
Sarıyer - Istanbul, Turkey

Phone :      +90 (212) 3381658
Fax     :     +90 (212) 3381559
E-mail : e-mail












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Pseudospectra of the smoke matrix
FIGURE: Smoke matrix, pseudospecta and multiple eigenvalues
The green curve corresponds to the boundary of the-pseudospectrum for smallest so that the components of the pseudospectrum coalesce. The red and blue asterisks are the points of coalesences that happen to correspond to eigenvalues whose multiplicities become two and three under smallest perturbations possible..
See the related talk   See the related paper

(click on the pseudospectra to see a picture of myself)