We compare the performance of several robust large-scale minimization algorithms applied for the minimization of the cost functional in the solution of inverse problems related to parameter estimation applied to the parabolized Navier-Stokes equations. The methods compared consist of Quasi-Newton (BFGS), a limited memory Quasi-Newton (L-BFGS) [1], Hessian Free Newton method [2] and a new hybrid...

In optimization, one of the main challenges widely used family Quasi-Newton methods is to find an estimate Hessian matrix as close possible real matrix. this paper, we develop a new update formula for starting from Powell-Symetric-Broyden (PSB) and adding pieces information previous steps optimization path. This lead multisecant version PSB, which call generalised PSB (gPSB), but does not exist...

This paper considers the problem of delay-dependent robust H∞ filtering for linear parameter-varying (LPV) systems with time-invariant delay in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. By taking the relationship between the terms in the Leibniz-Newton formula and a suitable change of variables into accoun...

An irreducible character of a finite group [Formula: see text] is called quasi text]-Steinberg for prime if it takes nonzero value on every text]-regular element text]. In this paper, we classify the characters Symmetric ([Formula: text]) and Alternating groups their double covers. particular, an existence nonlinear implies

In this work, we address the implementation and performance of inexact Newton-Krylov quasi-Newton algorithms, more specifically BFGS method, for solution nonlinear elasticity equations, compare them to a standard method. This is done through systematic analysis solvers with respect problem size, magnitude data number processors in both almost incompressible mechanics. We consider three test cas...

This paper shows how various limited-memory quasi-Newton large-scale unconstrained minimization methods can be used to speed up the location of global minima of potential energy surfaces related to the structures of mixed Ar-Xe clusters. Both a simulated annealing method and a finitetemperature lattice-based Monte Carlo method are accelerated by the various quasi-Newton limitedmemory methods wh...

In recent years, quasi-Newton schemes have proven to be a robust and efficient way for the coupling of partitioned multi-physics simulations in particular for fluid-structure interaction. The focus of this work is put on the coupling of partitioned fluid-structure interaction, where minimal interface requirements are assumed for the respective field solvers, thus treated as black box solvers. T...

The Dirichlet–Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning solvers employed two subproblems. Nevertheless, it not without shortcomings: to begin with, inherent added-mass effect often destabilizes numerical solution severely. Moreover, cannot be applied FSI problems in which an incompressible fluid fully enc...

This paper proposes a new predictor-corrector interior-point method for a class of semidefinite programs, which numerically traces the central trajectory in a space of Lagrange multipliers. The distinguished features of the method are full use of the BFGS quasi-Newton method in the corrector procedure, and an application of the conjugate gradient method with an effective preconditioning matrix ...

in this paper, optimal distributed control of the time-dependent navier-stokes equations is considered. the control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. a mixed numerical method involving a quasi-newton algorithm, a novel calculation of the gradients and an inhomogeneous navier-stokes solver, to find the opt...