Professor Victor Pan
(from an NSF grant abstract)
Professor Pan investigates the synthesis of effective algebraic and
numerical algorithms and on their
practical and theoretical improvement.
This includes the comprehensive study of practical
numerical algorithms for polynomial rootfinding,
that is finding the roots of a given polynomial.
This is a central subject of algebraic computing.
Another fundamental subject studied by Professor Pan and having ubiquitous a
pplications to many areas of scientific and engineering computing
and signal processing is computations with structured matrices.
Matrices are studied in Linear Algebra.
Professor Pan also investigates
various extensions and applications of polynomial rootfinding
and structured matrices. In particular he is working on
solving polynomial systems of equations,
approximating polynomial gcd,
polynomial interpolation and multipoint evaluation.
His work also applies to sign determination and modular
reduction, which is a central subject of algebraic and geometric
computations, and on decoding the
BCH error-correcting codes.