scholarly journals Anderson acceleration of the alternating projections method for computing the nearest correlation matrix

2015 ◽  
Vol 72 (4) ◽  
pp. 1021-1042 ◽  
Author(s):  
Nicholas J. Higham ◽  
Nataša Strabić
Keyword(s):  
Correlation Matrix ◽  
Alternating Projections ◽  
Anderson Acceleration ◽  
Alternating Projections Method

scholarly journals A variational approach to the alternating projections method

2021 ◽  
Author(s):  
Carlo Alberto De Bernardi ◽  
Enrico Miglierina
Keyword(s):  
Convex Sets ◽  
Nonempty Intersection ◽  
Feasibility Problem ◽  
Alternating Projections ◽  
Limit Sets ◽  
Von Neumann ◽  
Convex Feasibility ◽  
Starting Point ◽  
Method Of Alternating Projections ◽  
Alternating Projections Method

AbstractThe 2-sets convex feasibility problem aims at finding a point in the nonempty intersection of two closed convex sets A and B in a Hilbert space H. The method of alternating projections is the simplest iterative procedure for finding a solution and it goes back to von Neumann. In the present paper, we study some stability properties for this method in the following sense: we consider two sequences of closed convex sets $$\{A_n\}$$ { A n } and $$\{B_n\}$$ { B n } , each of them converging, with respect to the Attouch-Wets variational convergence, respectively, to A and B. Given a starting point $$a_0$$ a 0 , we consider the sequences of points obtained by projecting on the “perturbed” sets, i.e., the sequences $$\{a_n\}$$ { a n } and $$\{b_n\}$$ { b n } given by $$b_n=P_{B_n}(a_{n-1})$$ b n = P B n ( a n - 1 ) and $$a_n=P_{A_n}(b_n)$$ a n = P A n ( b n ) . Under appropriate geometrical and topological assumptions on the intersection of the limit sets, we ensure that the sequences $$\{a_n\}$$ { a n } and $$\{b_n\}$$ { b n } converge in norm to a point in the intersection of A and B. In particular, we consider both when the intersection $$A\cap B$$ A ∩ B reduces to a singleton and when the interior of $$A \cap B$$ A ∩ B is nonempty. Finally we consider the case in which the limit sets A and B are subspaces.

scholarly journals Global convergence of the alternating projection method for the Max-Cut relaxation problem

Filomat ◽  
2017 ◽  
Vol 31 (3) ◽  
pp. 737-746
Author(s):  
Suliman Al-Homidana
Keyword(s):  
Convex Sets ◽  
Alternating Projections ◽  
Correlation Matrices ◽  
Von Neumann ◽  
Relaxation Problem ◽  
Max Cut Problem ◽  
Np Hard Problem ◽  
Convergent Method ◽  
Alternating Projection Method ◽  
Alternating Projections Method

The Max-Cut problem is an NP-hard problem [15]. Extensions of von Neumann?s alternating projections method permit the computation of proximity projections onto convex sets. The present paper exploits this fact by constructing a globally convergent method for the Max-Cut relaxation problem. The feasible set of this relaxed Max-Cut problem is the set of correlation matrices.

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.

Professional Stress among Junior Commissioned Officers and Non Commissioned Officers of Indian Military Intelligence – A Case Study

GIS Business ◽  
2019 ◽  
Vol 14 (6) ◽  
pp. 133-145
Author(s):  
Dr. S. S. Nirmala ◽  
Dr. N. Kogila ◽  
T. Porkodi
Keyword(s):  
Factor Analysis ◽  
Correlation Matrix ◽  
Null Hypothesis ◽  
Primary Data ◽  
Questionnaire Data ◽  
Military Intelligence ◽  
Sphericity Test ◽  
Professional Stress ◽  
Structured Questionnaire

The present study is focusing on the professional stress on organisation among the Junior Commissioned Officers (JCOs) and Non-Commissioned Officers (NCOs) of Indian Military Intelligence. 384 samples of Military Intelligence personnel will be taken for this study. Sources of data is Primary data include a structured questionnaire. Data was collected through structured questionnaire and measure through Likert’s scale, using KMO measure of sampling adequacy, Cronbach’s alpha for checking internal consistency, Bartlett sphericity test for testing the null hypothesis and various factor analysis including Eigenvalues, Extract square Sum loading, variance percent and Accumulation percent values relative comparison and Correlation matrix will be used as tools to arrive at desired results and statistical interpretations. The hypotheses put for test and the resultant values at 0.01 and 0.05 (for different factors) clearly indicated that there is an existence of association between different level of cadres and professional stress among personnel of Indian Military Intelligence. The authority who can formulate the rules and regulations and binding them on the lower cadres and professions to accept and adopt.

FAKTOR YANG MEMPENGARUHI KUNJUNGAN WISATA PADA OBYEK WISATA SENDANG ASRI WADUK GAJAH MUNGKUR WONOGIRI

ProBank ◽  
2020 ◽  
Vol 4 (2) ◽  
pp. 233-250
Author(s):  
Winarna Winarna ◽  
Nanik Irma Susanti
Keyword(s):  
Intellectual Property Rights ◽  
Random Sampling ◽  
Correlation Matrix ◽  
Swot Analysis ◽  
Cultural Tourism ◽  
Formation Factor ◽  
Analysis Techniques ◽  
Tourist Destinations ◽  
Model Determination ◽  
Scientific Meetings

Tourism Object Sendang Asri Gajah Mungkur Reservoir is the most visited tourist destinations compared to other tourist objects in the Wonogiri region. The uniqueness that is owned by the tourism object of Sendang Asri is often held certain events such as new year, Idul Fitri holidays, the title of cultural tourism and so on which at that time the number of visitors far beyond the ordinary day. Many factors affect the amount of tourist visits, especially in Tourism Object of Sendang Asri Gajah Mungkur Reservoir such as existing facilities, ease of location, uniqueness and service, price and beauty and scarcity of objects.This research aimed to test whether factors which researchers convey the above  have effect excursions on tourism visit to tourism object of Sendang Asri Wonogiri. With this research is expected the manager can take strategy in managing this area. In   this research  into the  object  is  the  visitor  of  tourism  object  of  Sendang  Asri  Gajah Mungkur Reservoir. Because of the limitations of the researchers, the researchers used samples with convenience Random Sampling. Data analysis techniques used were factor analysis with variable determination stage, correlation matrix formation, factor extraction, matrix rotation, model determination test and SWOT analysis. Expected research outputs are publications in International journals, Materials to be submitted in scientific meetings, simple Intellectual Property Rights and teaching materials lectures.

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