This article develops two new algorithms of three-term conjugate gradient (TTCG) coefficients to handle nonlinear least-squares (NLS) problems using the structured secant equation.
Rabiu Bashir Yunus +5 more
doaj +1 more source
Logarithmic Connections on Principal Bundles and Their Applications to Geometric Control Theory
In this research, we establish a precise correspondence between the theory of logarithmic connections on principal G-bundles over compact Riemann surfaces and the geometric formulation of control systems on curved manifolds, providing a novel ...
Álvaro Antón-Sancho
doaj +1 more source
Development of a Spectral Conjugate Gradient Method for Solving Optimization Problems
Conjugate gradient methods have been favored to use for their efficiency in solving large-scale unconstrained optimization problems, primarily because of their low memory requirements and exclusive to use the first-order derivative information.
Kamal Jameel Murad, Salah Gazi Shareef
doaj +1 more source
Generalized Bayesian Additive Regression Trees Models: Beyond Conditional Conjugacy
Bayesian additive regression trees have seen increased interest in recent years due to their ability to combine machine learning techniques with principled uncertainty quantification. The Bayesian backfitting algorithm used to fit BART models, however, limits their application to a small class of models for which conditional conjugacy exists.
openaire +2 more sources
New Necessary Conditions for the Existence of Difference Sets without Self-Conjugacy
The author generalizes a lemma of Arasu and Ma and applies this to obtain some necessary existence conditions for difference sets which avoid the strong technical assumption of self-conjugacy. In particular, he verifies Lander's conjecture (saying that the Sylow \(p\)-subgroup of the underlying group \(G\) cannot be cyclic if \(G\) is abelian and \(p\)
openaire +2 more sources
Two-Versions of Conjugate Gradient-Algorithms Based on Conjugacy Conditions for Unconstrained Optimization [PDF]
Problem statement: (CG) algorithms, which we had investigated in this study, were widely used in optimization, especially for large scale op timization problems, because it did not need the storage of any matrix. The purpose of this construc tion was to find new CG-algorithms suitable for solving large scale optimization problems.
openaire +1 more source
THE CLGREEN INDEX IN MONITORING THE CONDITION OF PEA CROPS
It was revealed that the ClGreen index on pea crops takes the highest values during the flowering period – the beginning of fruit formation. An average negative correlation is determined with the resistance to lodging during the flowering period – the ...
E. Kozhuhova +3 more
semanticscholar +1 more source
Arithmetical Conditions on the Length of the Conjugacy Classes of a Finite Group
In this paper groups are finite. First, using new tools, another proof of Theorem 2 of \textit{E. A. Bertram, M. Herzog} and \textit{A. Mann} [Bull. Lond. Math. Soc. 22, No. 6, 569-575 (1990; Zbl 0743.20017)] is given (Theorem 4). Definitions: If \(G\) is a group, then \(\rho' (G)\) is the set of all primes dividing the cardinality of some conjugacy ...
openaire +3 more sources
Modified parameter of Dai Liao conjugacy condition of the conjugate gradient method
The conjugate gradient (CG) method is widely used for solving nonlinear unconstrained optimization problems because it requires less memory to implement. In this paper, we propose a new parameter of the Dai Liao conjugacy condition of the CG method with the restart property, which depends on the Lipschitz constant and is related to the Hestenes Stiefel
openaire +2 more sources
Different Types of Three-Term CG-Methods with Sufficient Descent and Conjugacy Conditions
It is very important to generate a descent search direction independent of line searches in showing the global convergence of conjugate gradient methods. Recently, Zhang et al. proposed a three-term of PR method (TTPR) and HS method (TTHS), both of which can produce sufficient descent condition.
Abbas Al-Bayati, Hawraz Al-Khayat
openaire +1 more source

