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Sign Pattern Matrix Particularity Qualitative Research

Posted on:2013-05-21Degree:MasterType:Thesis
Country:ChinaCandidate:X S WangFull Text:PDF
GTID:2240330371468468Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In recently, it has become the modern forms of various fields of science and technology todeal with the large amounts of finite-dimensional space and the powerful tools of quantitative re-lation.The main research of Sign pattern matrices is the symbol depends on the matrix elementsonly, and has nothing to do with element size.In a sense, the study of sign pattern matrix is equiv-alent to the matrix of qualitative analysis.In this few years, many scholars pay close attention tothe research of the symbolic matrix theory in the complex range of promotion, one concern is thesymbol of matrix theory in the promotion of a number of core issues in the context of complexnumber.In the basis of the development of sign pattern matrix, the incidence matrix with good prim-itive figure is developed either. For the primitive type of the base figure, has given rise to a newcharacterization of the primitive nature of indices, the scrambling index, was raised by Akelbekand Kirkland.In the first chapter, describes the history of sign pattern matrix, gives some basic knowledgeand the main present situation of the research.At the second Chapter,the further research of the generalized inverse matrix in symbolic modeonly in the field of complex numbers would have been introduced based on the existing of thesymbols only generalized inverse matrix of real numbers some of the conclusions, and also showof the characteristic depiction of complex.The third chapter gives two special primitive figures scrambling indices and exponents ofrelations, and from there launched a special kind of primitive digraphs scrambling indices andexponents of relationships.And the fourth chapter provides the main research problems and results, and then gives thehope to the combinatorics.
Keywords/Search Tags:Sign pattern matrix, ray Sign pattern, Moore-Penrose generalized inverse, Complex sign pattern Unique, primitive graphs, scrambling index
PDF Full Text Request
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