Colloquium- Dr. Steven Mackey, Western Michigan University
"Inverse Problems for Matrix Polynomials and Rational Matrices"
4:00PM, Thu Mar 7 2019, 250 Mathematics bldg.
Matrix polynomials arise in a variety of application areas,
including the vibration analysis of mechanical structures, optimal control,
and linear systems theory. The key structural data of a matrix polynomial
in many such applications are its eigenvalues and elementary divisors (both
finite and infinite), together with its left and right minimal indices. A
fundamental inverse problem for matrix polynomials, then, is to characterize
the combinations of structural data that are realizable by some matrix polynomial.
And when a list of structural data is realizable in principle, is it possible to simply
construct a realization in such a way that the given structural data is transparently
visible, in a manner analogous to the Jordan canonical form for matrices, or the
Kronecker canonical form for matrix pencils? In this talk we discuss recent work
on these questions, and as time permits the analogous questions for rational
Levi Sledd (Vanderbilt)
4:00PM, Fri Mar 8 2019, Math 122
Ruth Charney (Brandeis)
4:00PM, Fri Apr 19 2019, Math 122
Catherine Pfaff (Queen's University)
4:00PM, Fri May 3 2019, Math 122