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(Non- ) positive matrix completion problems in non - monotonic calibration Figure

Author: WangDi
Tutor: FuYingDing
School: University of Electronic Science and Technology
Course: Computational Mathematics
Keywords: Part of the matrix Totally positive matrix Full non- positive matrix Completion of the problem Non - monotonic calibration chart
CLC: O151.21
Type: Master's thesis
Year: 2008
Downloads: 9
Quote: 0
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Abstract


This paper application of graph theory and combinatorial mathematics and combined with a special matrix and linear algebra methods to study the picture shows the part of the non-monotonic calibration ring full matrix of complete problems as well as some non- full matrix under the non - monotonic calibration chart complete problem , the following key elements : overview of the background of the topic of this article , a brief description of a the matrix complete theory Research and research methods , and the main work of this paper . Through the study of 4 × 4 section full of positive matrix A, its picture shows the non- monotonic calibration ring , have been able to complete the matrix A TP- conditions , and the results are extended to order n Pictured is non- monotonic calibration ring part of the whole is complete matrix . 3 . Research part of all non - positive matrix in a non-monotonic calibration Road nonmonotonic calibration 1 - through chord chart , non- monotonic calibration - Through chord chart complete in the case of non- monotonic calibration ring , has been part of the whole non- matrix in the above case be able to complete the conditions .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Theory of algebraic equations,linear algebra > Linear Algebra > Matrix theory
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