Emre Mengi
Assistant Professor
Department of Mathematics
Koç University


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

Teaching (Spring 2012)

Latest, Research Related
  • May 19, 2012 : Paper (revised version) on the nearest linear systems with highly deficient reachable subspaces (SIAM J Matrix Anal Appl)
  • May 14, 2012 : Paper (revised version) on pencils with specified eigenvalues; with Kressner, Nakic, Truhar (submitted to IMA J Num Anal)
  • April 2nd-3rd, 2012 : Slides of my talk at the MOPNET meeting, that was held at the University of Bath in the United Kingdom.
  • March 5th, 2012 : Paper on the numerical optimization of eigenvalues of Hermitian matrix functions; with Kilic, Yildirim (submitted to SIAM J Matrix Anal Appl)
  • November 27, 2011 : Eigopt - initial versions of the software for eigenvalue optimization
 

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












    Curriculum VitaePapersPh.D. ThesisTeachingJohn SteinbeckSoftwareRecent Talks    
Shorthand
cv-Curriculum Vitae, ps-Papers, th-Ph.D. Thesis, te-Teaching,
js-John Steinbeck, sw-Software,  st-Selected Talks






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)