Structured Matrices in Mathematics, Computer Science, and Engineering: Proceedings of an Ams-IMS-Siam Joint Summer Research Conference, University of Colorado, Boulder, June 27-July 1, 1999
Structured Matrices in Mathematics, Computer Science, and Engineering: Proceedings of an Ams-IMS-Siam Joint Summer Research Conference, University of Colorado, Boulder, June 27-July 1, 1999
Many important problems in applied sciences, mathematics, and engineering can be reduced to matrix problems. Moreover, various applications often introduce a special structure into the corresponding matrices, so that their entries can be described by a certain compact formula. Classic examples include Toeplitz matrices, Hankel matrices, Vandermonde matrices, Cauchy matrices, Pick matrices, Bezoutians, controllability and observability matrices, and others. Exploiting these and the more general structures often allows us to ...
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Many important problems in applied sciences, mathematics, and engineering can be reduced to matrix problems. Moreover, various applications often introduce a special structure into the corresponding matrices, so that their entries can be described by a certain compact formula. Classic examples include Toeplitz matrices, Hankel matrices, Vandermonde matrices, Cauchy matrices, Pick matrices, Bezoutians, controllability and observability matrices, and others. Exploiting these and the more general structures often allows us to obtain elegant solutions to mathematical problems as well as to design more efficient practical algorithms for a variety of applied engineering problems. Structured matrices have been under close study for a long time and in quite diverse (and seemingly unrelated) areas, for example, mathematics, computer science, and engineering. Considerable progress has recently been made in all these areas, and especially in studying the relevant numerical and computational issues. In the late 1990s, a number of practical algorithms blending speed and accuracy have been developed.
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All Editions of Structured Matrices in Mathematics, Computer Science, and Engineering: Proceedings of an Ams-IMS-Siam Joint Summer Research Conference, University of Colorado, Boulder, June 27-July 1, 1999