scholarly journals On Using Quasi-Newton Algorithms of the Broyden Class for Model-to-Test Correlation

2014 ◽  
Vol 6 (4) ◽  
pp. 407-414 ◽  
Author(s):  
Jan Klement
Keyword(s):  
Broyden Class ◽  
Quasi Newton ◽  
Test Correlation

scholarly journals A Broyden Class of Quasi-Newton Methods for Riemannian Optimization

2015 ◽  
Vol 25 (3) ◽  
pp. 1660-1685 ◽  
Author(s):  
Wen Huang ◽  
K. A. Gallivan ◽  
P.-A. Absil
Keyword(s):  
Newton Methods ◽  
Riemannian Optimization ◽  
Broyden Class ◽  
Quasi Newton

scholarly journals Compact representation of the full Broyden class of quasi-Newton updates

2018 ◽  
Vol 25 (5) ◽  
pp. e2186 ◽  
Author(s):  
Omar DeGuchy ◽  
Jennifer B. Erway ◽  
Roummel F. Marcia
Keyword(s):  
Compact Representation ◽  
Broyden Class ◽  
Quasi Newton

scholarly journals Exact linesearch limited-memory quasi-Newton methods for minimizing a quadratic function

2021 ◽  
Author(s):  
David Ek ◽  
Anders Forsgren
Keyword(s):  
Optimization Problems ◽  
Linear Equations ◽  
Quadratic Function ◽  
Compact Representation ◽  
Test Collection ◽  
Newton Methods ◽  
Limited Memory ◽  
Broyden Class ◽  
Systems Of Linear Equations ◽  
Quasi Newton

AbstractThe main focus in this paper is exact linesearch methods for minimizing a quadratic function whose Hessian is positive definite. We give a class of limited-memory quasi-Newton Hessian approximations which generate search directions parallel to those of the BFGS method, or equivalently, to those of the method of preconditioned conjugate gradients. In the setting of reduced Hessians, the class provides a dynamical framework for the construction of limited-memory quasi-Newton methods. These methods attain finite termination on quadratic optimization problems in exact arithmetic. We show performance of the methods within this framework in finite precision arithmetic by numerical simulations on sequences of related systems of linear equations, which originate from the CUTEst test collection. In addition, we give a compact representation of the Hessian approximations in the full Broyden class for the general unconstrained optimization problem. This representation consists of explicit matrices and gradients only as vector components.

scholarly journals Rates of superlinear convergence for classical quasi-Newton methods

2021 ◽  
Author(s):  
Anton Rodomanov ◽  
Yurii Nesterov
Keyword(s):  
Nonlinear Optimization ◽  
Superlinear Convergence ◽  
Local Convergence ◽  
Lipschitz Constant ◽  
Rates Of Convergence ◽  
Newton Methods ◽  
Long Time ◽  
Broyden Class ◽  
Quasi Newton ◽  
Convexity Parameter

AbstractWe study the local convergence of classical quasi-Newton methods for nonlinear optimization. Although it was well established a long time ago that asymptotically these methods converge superlinearly, the corresponding rates of convergence still remain unknown. In this paper, we address this problem. We obtain first explicit non-asymptotic rates of superlinear convergence for the standard quasi-Newton methods, which are based on the updating formulas from the convex Broyden class. In particular, for the well-known DFP and BFGS methods, we obtain the rates of the form $$(\frac{n L^2}{\mu ^2 k})^{k/2}$$ ( n L 2 μ 2 k ) k / 2 and $$(\frac{n L}{\mu k})^{k/2}$$ ( nL μ k ) k / 2 respectively, where k is the iteration counter, n is the dimension of the problem, $$\mu $$ μ is the strong convexity parameter, and L is the Lipschitz constant of the gradient.

Pengaruh Inflasi, BI Rate, NPF, dan BOPO terhadap Profitabilitas Bank Umum Syariah di Indonesia

2018 ◽  
Vol 6 (1) ◽  
pp. 133-153
Author(s):  
Toufan Aldian Syah
Keyword(s):  
Banking Industry ◽  
External Factors ◽  
Coefficient Of Determination ◽  
Muslim Country ◽  
Internal Factors ◽  
Slowing Down ◽  
The World ◽  
Negative Effect ◽  
Test Correlation ◽  
The Ideal

Banking industry has a very important role in economic development in a country. Indonesia, which is the largest Muslim country in the world, certainly has the prospect of the development of Sharia Banking Industry is very good in the future. However, the development of Sharia Bank has been slowing down in recent years and the profitability of sharia comercial banking is still below the ideal value. This study aims to determine the internal factors and external factors that affect the profitability of Sharia Bank in the year of January 2012 until August 2017. The variables used in this study are ROA, Inflation, NPF, and BOPO. The data used is aggregate data of all Sharia Commercial Banks recorded at Bank Indonesia. Measurement of Statistic Description, F-Test, T-Test, Correlation Coefficient, Coefficient of Determination and Multiple Linear Regression using IBM SPSS 21 software. The results showed that significant negative effect of BI rate, NPF and BOPO was found, while Inflation variable showed negative but not significant. Overall, the above variables affect the ROA of 87.7%, while 12.3% is likely to be influenced by other factors.

Space Shuttle Main Engine modal test correlation and optimization

1993 ◽  
Author(s):  
ROBERT STEC ◽  
VINEY GUPTA ◽  
LISA CHANEY ◽  
JOHN HAWORTH
Keyword(s):  
Space Shuttle ◽  
Modal Test ◽  
Main Engine ◽  
Test Correlation

Investigating the Personality Variable (LOC) & Impression Management Relationship: Exploring the Role of Demographic Variables & Sectoral Difference of Managers

2016 ◽  
Vol 7 (1) ◽  
Author(s):  
Poornima Madan ◽  
Shalini Srivastava
Keyword(s):  
Locus Of Control ◽  
Impression Management ◽  
Demographic Variables ◽  
Personality Variable ◽  
Public Sector Organizations ◽  
Private And Public ◽  
The Difference ◽  
The Relationship ◽  
Test Correlation

The purpose of the study is to investigate the relationship between locus of control and impression management. The study also examines the variation in locus of control dimensions namely, internality, externality (others) and externality (chance). It further investigates the difference on perception of demographic variables (gender and marital status) and sectoral difference on impression management. The study was administered on 125 Managers who were representatives of different private and public sector organizations in Delhi/NCR. Variables in the study were assessed using validated instruments. Descriptive Statistics, t-test, Correlation and Regression were used for data analysis. Organizations will be better prepared to dig into the arena of one of the personality variable, i.e. locus of control and its relationship with impression management. The current research is imperative in providing insights into role of personality variable (locus of control) and impression management, which will be one of the pioneer researches available till date. Moreover, the research will highlight the significance of locus of control dimensions and impression management.

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