Faculty & Staff

Faculty/Staff Photo

Morteza Seddighin

Professor, Mathematics
School of Natural Sciences and Mathematics
Whitewater Hall 258
(765) 973-8268


  • PhD University of Colorado, 1981 Boulder, Colorado

Current Research Interests

Antieigenvalues and their applications to statistics, operator theory, operator inequalities, operator optimization, and functional analysis.  

I discovered and proved the "Two Nonzero Component Lemma (TNCL)", which is a dimension reducing optimization tool and, as such, has applications in infinite dimensional operator theory and other areas of pure and applied mathematics. Currently I am investigating how TNCL can be used to compute closed form answers to some famous resource allocation problems.

Selected Publications

  • Seddighin M., Antieigenvalue Techniques in Statistics. Journal of Linear Algebra and Applications.
  • Seddighin M., On the Joint Antieigenvalue of Operators on Normal Subalgebras, Journal of Mathematical Analysis and Applications
  • Seddighin M., Gustafson K., On the Eigenvalues which Express Antieigenvalues, International Journal of Mathematics and Mathematical Sciences
  • Six open access articles of this author can be found at http://www.hindawi.com/16736595.html

A complete list of publications can be found at http://www.iue.edu/nsm/research/seddighin/publications.php

Synergistic Activities

  • Member of Editorial Board: Journal of Mathematical Sciences: Advances and Applications
  • Reviewer: Mathematical Reviews (MR)
  • Reviewer: Mathematical Association of America
  • Reviewer: Journal of Research in Mathematics Education
  • Referee: Journal of Mathematical Analysis and Applications.
  • Referee: Journal of Pure and Applied Analysis
  • Liaison: Local representative of Mathematical Association of America

Selected Courses Taught

Functional Analysis, Operator Theory, Mathematical Modeling, Number Theory, Calculus, Differential Equations, Topology, Modern Algebra,

Professional Organizations

  • International Linear Algebra Society


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