We consider the problem of solving linear systems of equations with limited-memory members of the restricted Broyden class and symmetric rank-one matrices. In this paper, we present various methods for solving these linear systems, and propose a new approach based on a practical implementation of the compact representation for the inverse of these limited-memory matrices. Using the proposed app...

The Barzilai–Borwein (BB) gradient method is favourable over the classical steepest descent method both in theory and in real computations. This method takes a 'fixed' step size rather than following a set of line search rules to ensure convergence. Along this line, we present a new approach for the two-point approximation to the quasi-Newton equation within the BB framework on the basis of a w...

In application to general function, each of the conjugate gradient and Quasi-Newton methods has particular advantages disadvantages. Conjugate (CG) techniques are a class unconstrained optimization algorithms with strong local global convergence qualities minimal memory needs. reliable efficient on wide range problems they converge faster than method require fewer function evaluations but have di...

This paper examines the efficiency of various methods of calibrating a rainfall-runoff model. The model used is a 12 parameter version of the Bough ton model which has been developed for large tropical basins. Attempts were made to improve the efficiency of calibration in three areas: selection of the best nonlinear programming algorithms; reduction of the number of objective functions required...

Introduction Recently, organisations as well as academics have increasingly become aware of the need for organisations to co-operate in knowledge networks with partnering organisations that can also be seen as competitors. It is not longer just co-operation that can improve a firm’s global competitiveness, but firms will actually meet their competitors in such cooperations. Organisations need t...

For nearly two decades, restorative justice responses to youth offending have been in place in all Australian states and territories. During this time, a vast amount of research on restorative justice processes and their impact on participants has amassed. Results consistently demonstrate that participants in restorative justice processes report positive experiences and regard their justice pro...

We present well-balanced high-resolution finite volume schemes for simulating waves in the outer solar atmosphere. The schemes approximate the stratified MHD equations with an upwind discretization of the Godunov-Powell source term and a locally hydrostatic pressure reconstruction that preserves discrete steady states. The paper summarizes recent articles [4, 5, 6].

<p>This paper presents an innovative approach in finding optimal solution of multimodal and multivariable function for global optimization problems that involve complex inefficient second derivatives. Artificial bees colony (ABC) algorithm possessed good exploration search, but the major weakness at its exploitation stage. The proposed algorithms improved ABC by hybridized with most effec...

The periodic generalized harmonic wavelet (PGHW) method is used to analyze the response of chain-like multi-degree-of-freedom (MDOF) nonlinear structural system with seismic excitation in time and frequency domain. First, theoretical background PGHW briefly introduced, relationship between power spectral density (PSD) stochastic process corresponding coefficient given. Next, wavelet-Galerkin st...

SARAH J. CADDICK, CHUNSHENG WANG, COLIN F. FLETCHER, NANCY A. JENKINS, NEAL G. COPELAND, AND DAVID A. HOSFORD Department of Neurology, Medical College of Virginia, Richmond, Virginia 23298; Department of Medicine, Division of Neurology and Department of Neurobiology, Duke University Medical Center and Durham Veterans Affairs Medical Center, Durham, North Carolina 27705; and Mammalian Genetics L...