scholarly journals An iterative algorithm to produce a positive definite correlation matrix from an approximate correlation matrix (with a program user's guide)

1982 ◽  
Author(s):  
R.L. Iman ◽  
J.M. Davenport
Keyword(s):  
Iterative Algorithm ◽  
Correlation Matrix ◽  
Positive Definite ◽  
Definite Correlation

scholarly journals Positive Definite Norm Dependent Matrices In Stochastic Modeling

2014 ◽  
Vol 47 (1) ◽  
Author(s):  
Sebastian P. Kuniewski ◽  
Jolanta K. Misiewicz
Keyword(s):  
Stochastic Modeling ◽  
Mathematical Analysis ◽  
Spatial Data ◽  
Correlation Matrix ◽  
Positive Definiteness ◽  
Positive Definite ◽  
Necessary Condition ◽  
The Family ◽  
Definite Correlation

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 definite) 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

Strictly positive definite correlation functions

2006 ◽  
Author(s):  
John Dolloff ◽  
Brian Lofy ◽  
Alan Sussman ◽  
Charles Taylor
Keyword(s):  
Correlation Functions ◽  
Positive Definite ◽  
Definite Correlation

scholarly journals Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zhigang Jia ◽  
Meixiang Zhao ◽  
Minghui Wang ◽  
Sitao Ling
Keyword(s):  
Iterative Algorithm ◽  
Perturbation Analysis ◽  
Matrix Equation ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Polynomial Matrix ◽  
Sufficient Conditions ◽  
Positive Definite ◽  
Solvability Theory ◽  
Adjoint Polynomial

The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists. The algebraic perturbation analysis is also given with respect to the perturbation of coefficient matrices. An efficient general iterative algorithm for the maximal or unique HPD solution is designed and tested by numerical experiments.

Non-iterative Algorithm of MIMO Adaptive Array Based on Correlation Matrix Including Parasitic Antennas

2013 ◽  
Vol E96.B (7) ◽  
pp. 1945-1952
Author(s):  
Naoki HONMA ◽  
Kentaro NISHIMORI ◽  
Takefumi HIRAGURI ◽  
Yoshitaka TSUNEKAWA
Keyword(s):  
Iterative Algorithm ◽  
Correlation Matrix ◽  
Adaptive Array

Expressed Emotion in the Client-Professional Dyad

2004 ◽  
Vol 20 (4) ◽  
pp. 237-246 ◽  
Author(s):  
G. Van Humbeeck ◽  
Ch. Van Audenhove ◽  
G. Storms ◽  
M. De Hert ◽  
G. Pieters ◽  
...  
Keyword(s):  
Therapeutic Relationship ◽  
Correlation Matrix ◽  
Concurrent Validity ◽  
Positive Relationship ◽  
Expressed Emotion ◽  
Family Interview ◽  
Insufficient Time ◽  
Perceived Criticism

Summary: Background: This article reports on a study of the concurrent validity between the standard expressed emotion instrument, the Camberwell Family Interview (CFI), and two alternative EE measures, the Level of Expressed Emotion (LEE) and the Perceived Criticism Scale (PCS). Methods: The research sample consisted of 56 schizophrenic clients, who were residing in sheltered residences, and 56 professionals. Results: Based on the results of the correlation matrix between all the subscales of the instruments, a significantly positive relationship was found between the criticism scale of the CFI, the total score of the LEE, and the client version of the PCS. These correlations, however, were rather weak, which implies that the three instruments have little in common with each other. The professionals' version of the PCS does not appear to be an EE instrument. Conclusions: The results suggest that the CFI still remains the best instrument for assessing EE in a therapeutic relationship (between a professional and a client). If there is insufficient time to administer the CFI, then the client version of the PCS and the LEE can be used with the qualification that the PCS and LEE also measure other aspects and thus cannot completely replace the CFI. Nevertheless, the research indicates that asking the clients would seem to provide a better indication of the level of the professionals' criticism rather than asking the professionals themselves directly.

The Structure Among Measures of Personality, Social Attitudes, Values, and Social Norms

2007 ◽  
Vol 28 (4) ◽  
pp. 240-251 ◽  
Author(s):  
Lazar Stankov
Keyword(s):  
Factor Analysis ◽  
Individual Differences ◽  
Social Norms ◽  
Social Interactions ◽  
Correlation Matrix ◽  
Social Attitudes ◽  
Group Differences ◽  
Factor Scores ◽  
Ethnic Group Differences ◽  
Inside Out

Abstract. This paper presents the results of a study that employed measures of personality, social attitudes, values, and social norms that have been the focus of recent research in individual differences. These measures were given to a sample of participants (N = 1,255) who were enrolled at 25 US colleges and universities. Factor analysis of the correlation matrix produced four factors. Three of these factors corresponded to the domains of Personality/Amoral Social Attitudes, Values, and Social Norms; one factor, Conservatism, cut across the domains. Cognitive ability showed negative correlation with conservatism and amoral social attitudes. The study also examined gender and ethnic group differences on factor scores. The overall interpretation of the findings is consistent with the inside-out view of human social interactions.

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