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1 - 10 of 41
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A new gradient method with an optimal stepsize property
Dai Y., Yang X. Computational Optimization and Applications 33(1): 73-88, 2006. Type: Article
The numerical treatment of large linear systems of equations is a major field in computational mathematics. There are two classes of methods: direct methods, which deliver the solution vector after a finite number of arithmetic operati...
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Oct 31 2006 |
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Blending set and interval arithmetic for maximal reliability
Verdonk B., Vervloet J., Cuyt A. Computing 74(1): 41-65, 2005. Type: Article
Real numbers cannot, in general, be exactly represented in a computer. Thus, if we want to evaluate a function f at an argument x, and the numbers a and b are ...
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Aug 10 2006 |
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Low-rank approximation of integral operators by interpolation
Börm S., Grasedyck L. Computing 72(3-4): 325-332, 2004. Type: Article
The numerical treatment of Fredholm integral equations is an important topic. One general approach is to approximate the integral equation with a linear system of equations that generally has a dense and large matrix. This provides a f...
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Dec 16 2005 |
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Parallel MCGLS and ICGLS methods for least squares problems on distributed memory architectures
Yang L., Brent R. The Journal of Supercomputing 29(2): 145-156, 2004. Type: Article
Least squares problems occur in many different fields of mathematics, as evidenced by this paper. The authors consider very large structured problems, and provide an excellent overview of their topic....
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Feb 17 2005 |
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Adaptive optimal observers for dynamic nonlinear systems
Fayaz A., Salem F. Systems Analysis Modelling Simulation 42(12): 1763-1781, 2002. Type: Article
Fayaz and Salem consider the problem of designing adaptive procedures for tracking, estimating, and predicting the states of a process based on input and output measurements. A mathematical model for the system is given, and the author...
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Dec 30 2003 |
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An algorithm and fortran program for multivariate LAD (l1 of l2) regression
Kaufman E., Taylor G., Mielke P., Berry K. Computing 68(3): 275-287, 2002. Type: Article
The authors consider the problem of fitting a linear combination of functions to observed data in a multivariate model. They discuss combinations of approximations in the l1 and l2 norm. A Fortran program that ca...
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Jan 21 2003 |
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Box spline prewavelets of small support
Buhmann M., Davydov O. Journal of Approximation Theory 112(1): 16-27, 2001. Type: Article
The authors consider the problem of constructing bivariate and trivariate prewavelets from box spline spaces, specifically, piecewise polynomials of fixed degree on a uniform mesh. Extension to more than three variables is not conside...
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Nov 15 2002 |
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Texture potential MIP mapping, a new high-quality texture antialiasing algorithm
Cant R., Shrubsole P. ACM Transactions on Graphics (TOG) 19(3): 164-184, 2000. Type: Article
The authors present a new method of representing images, the texture potential MIP mapping, which they compare to several other methods. A comprehensive description is given of these methods, and their performances are tested. The argu...
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Apr 19 2002 |
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Using Support Vector Machines to Enhance the Performance of Elastic Graph Matching for Frontal Face Authentication
Tefas A., Kotropoulos C., Pitas I. IEEE Transactions on Pattern Analysis and Machine Intelligence 23(7): 735-746, 2001. Type: Article
This is an interesting paper about an important application of image processing: recognition of human faces. The so-called “dynamic link architecture” is used. An object is represented by projecting its image onto a...
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Mar 1 2002 |
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Geometric modeling with splines: an introduction
Cohen E., Riesenfeld R., Elber G., A. K. Peters, Ltd., Natick, MA, 2001. 616 pp. Type: Book (9781568811376)
Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided...
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Feb 1 2002 |
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