(2) It is identified with αk (k = 1,2,3) and βk (k = 1,2,3) given equality constrained autoregressive coefficient, i.e., given equal A b-coefficients, equal C b-coefficients, or equal E b-coefficients).
Numerical algorithms for smooth and equality constrained problems; interior-point methods for inequality constrained problems.
In this paper we propose a secant algorithm with line search filter method for nonlinear equality constrained optimization.
The initial problem is transformed to an equivalent equality constrained problem, where the logarithmic barrier function is used to ensure feasibility.
A bi-objective welded beam design problem, a tri-objective car side impact problem and an equality constrained optimization problem of CEC-2006 isolveded as an illustration.
The approximation coefficients are then chosen to minimize an objective function at each point by solving an equality constrained least squares.
In this paper, we shall consider linear equality constrained problems as unconstrained ones using generalized pattern search algorithm, except for a feasible starting point.
Instead of solving the initial equality constrained optimization problem, a parametrized regular least squares regression onto the null space of the Jacobian matrix of the constraining equations is performed, yielding adjusted estimates of process variables.
We will demonstrate that direct transcription methods, which use a different approach, can successfully solve some higher index equality constrained optimal control problems and that the role of the index needs reinterpretation when using direct transcription methods.
The proofs combine the original results by Langer and Steinbach on the scalability of BETI for linear problems and our development of optimal quadratic programming algorithms for bound and equality constrained problems.
