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Positive Definite Norm Dependent Matrices In Stochastic Modeling

Sebastian P. Kuniewski, Jolanta K. Misiewicz
2014 Demonstratio Mathematica  

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AbstractPositive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial data. Because the positive definiteness is a necessary condition for a matrix to be a valid correlation matrix, it is desirable to give a characterization of the family of the distance/norm dependent functions that form a valid (positive
more » ... efinite) correlation matrix. Thus, the main reason for writing this paper is to give an overview of characterizations of norm dependent real functions and consequently norm dependent matrices, since this information is somehow hidden in the theory of geometry of Banach spaces
doi:10.2478/dema-2014-0017 fatcat:rtlbzbtkvzgt3b6eedl6py6xbu
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Sebastian P. Kuniewski, Jolanta K. Misiewicz. "Positive Definite Norm Dependent Matrices In Stochastic Modeling." Demonstratio Mathematica 47.1 (2014)