The family of GR algorithms is discussed. This includes the standard and multishift QR and LR algorithms, the Hamiltonian QR algorithm, divide-and-conquer algorithms such as the matrix sign function method, and many others. Factors that aaect convergence are the quality of the transforming matrices and ratios of eigenvalues. Implicit implementations as bulge-chasing algorithms are discussed, as...

This paper presents a convergence theory for evolutionary pattern search algorithms (EP-SAs). EPSAs are self-adapting evolutionary algorithms that modify the step size of the mutation operator in response to the success of previous optimization steps. Previously, we have proven a stationary point convergence theory for EPSAs for which the step size is not allowed to increase. The present analys...

In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.

this paper examines the relationship between environmental law and intellectual property law in light of international documents and procedures. the key question raised here is the role of intellectual property law in conservation of global environment. in this regard, we can express two general approaches: the neutral theory of intellectual property right and the systemic theory of intellectua...