The Kronecker product
www page
This is a collection of pointers to work related to the Kronecker product
(or tensor product, direct
product or outer product. as it is also known).
The Kronecker product notation arises in many different areas of science
and engineering,
however only a few linear algebra textbooks mention it. This www page
is an attempt to
bring together different groups of people that use the Kronecker product
and provide resources
(papers, bibliography and software codes) to the general user community.
Please send your comments, corrections and additions to:
nikos@cs.duke.edu
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An Introduction to the Kronecker product.
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Textbooks covering the Kronecker product.
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Willi-Hans Steeb. Kronecker Product of Matrices and Applications,
Wissenschaftsverlag, 1991.
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The Kronecker product. in Linear Algebra.
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Large Least Square Problems.
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What is the closest Kronecker product to a given matrix?
The answer is given by an elegant application of the singular value decomposition
(SVD) in:
C. Van Loan, N. Pitsianis, Approximation
with Kronecker Products, Linear Algebra for Large Scale and Real
Time Applications (ed. M. S. Moonen and G. H. Golub), Kluwer Publications,
1993, pg 293-314
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The Kronecker product. and Fast Transform Algorithms.
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Charles F. Van Loan. Computational frameworks for the Fast Fourier Transform.
SIAM, 1992.
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Automatic code generation from Kronecker product. matrix expressions.
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Ohio work.
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NYU work.
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my thesis
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FFT code generator
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Standalone FFT codes
The bibliography of my thesis (entries in no particular
order): in bib
or in html.