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Research on Algorithm for the Distarice between Two Linear Manifolds
Author: HeJinHua
Tutor: ZhangShengGui
School: Fujian Normal University
Course: Applied Mathematics
Keywords: linear manifold distance coperpendicular linear manifold quadratic programming
CLC: O186
Type: Master's thesis
Year: 2012
Downloads: 24
Quote: 0
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Abstract
The concept of the distance between two linear manifolds is given, and the algorithms are designed.At the beginning of this thesis, the development and application of the concept of manifold are introduced. In Chapter1, the distance, coperpendicular linear manifold between two linear manifolds are defined, and their two algorithms are respectively presented by perpendicularity and paralleling property of linear manifolds, and some examples are computed for illustration of feasibility of the algorithms. In chapter2, the distance between two linear manifolds is characterized by a convex quadratic program, and its algorithm is given by optimal conditions, and some example are computed to illustrate its feasibility. In Chapter3, a conclusion is made and some problems which are researched in the future are presented.

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry
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