Applications of the Kronecker Product

                     Charles Van Loan
                Department of Computer Science
                    Cornell University 

Just about every fast linear transform corresponds to
a ``sparse'' factorization of the the underlying transform
matrix and the factors usually involve Kronecker products.
This is well-known in the FFT area. Extensions of the factorization
framework to wavelets will be discussed leading to some interesting
generalizations of the Kronecker product. In addition, I will
talk about some new areas in dense matrix computations where the
Kronecker product is finding a useful computational niche.

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Charles Van Loan received his Ph.D. from the University of Michigan in 1973
and works in the area of matrix computations.  He has written papers on
various eigenvalue, least squares, and linear equation problems, with
special attention to matrix computations that arise in signal processing and
control.  Currently, he is interested in applications of the Kronecker
product.

Van Loan has written five  books: 
  "Matrix Computations, 3rd Edition"(with G.H. Golub), 
  "Handbook for Matrix Computations" (with T. Coleman), 
  "Computational Frameworks for the Fast Fourier Transform",
  "Introduction to Computational Science and Mathematics",
  "Intoduction to Scientific Computation--A Matrix/Vector Approach Using Matlab"

Van Loan has been a Professor of Computer Science at Cornell since 1975.