School of Natural Sciences and Mathematics
Whitewater Hall 258
- 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.
- 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
- 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,
- International Linear Algebra Society