Abstract
A special type of factorization for operators defined on partially ordered Hilbert resolution spaces is considered. The main result includes, as a particular case, the classical Schur-Coleski triangular factorization. Connections with stochastic optimization and image-processing problems are established.
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DeSantis, R. M., Porter, W. A., Optimization problems in partially ordered Hilbert resolution space, Int. J. Control, Vol.36, No. 5, 1982, pp. 875–883.
Faddeeva, U. N.,Computational Methods of Linear Algebra, Dover, 1959, New York.
Gohberg, I. Z., Krein, M. C., Theory of Volterra operators in Hilbert space and applications, AMS, Trans. of Math Mono. Vol.18, 1969.
Masani, P., Orthogonally scattered measures,Advances in Mathematics, Vol.2, Fascicle 2, June 1968, pp. 61–117.
Porter, W. A., DeSantis, R. M., Angular factorization of matrices,Journal of Mathematical Analysis and Applications, Vol.88, No. 2, August 1982, pp. 591–603.
Pratt, W. K.,Digital Image Processing, Wiley, New York, 1978.
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This research was sponsored in part under NSF grant 78/88/71, AFOSR grant 78-3500 and Canadian Research Council grant CNRC-A-8244.
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DeSantis, R.M., Porter, W.A. Generalized Schur-Coleski factorization with applications to image processing. Circuits Systems and Signal Process 3, 315–325 (1984). https://doi.org/10.1007/BF01599079
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DOI: https://doi.org/10.1007/BF01599079