Numerical Analysis [electronic resource] : Proceedings of the Fourth IIMAS Workshop held at Guanajuato, Mexico, July 23–27, 1984 / edited by Jean-Pierre Hennart.

A global zero residual least squares method -- Efficient primal algorithms for strictly convex quadratic programs -- Location of multiple equilibrium configurations near limit points by a double dogleg strategy and tunnelling -- Considerations of numerical analysis in a sequential quadratic programming method -- Remarks on a continuous finite element scheme for hyperbolic equations -- An efficient modular algorithm for coupled nonlinear systems -- Optimization of multistage processes described by differential-algebraic equations -- Polynomial iteration for nonsymmetric indefinite linear systems -- Viewing the conjugate gradient method as a trust region algorithm -- An efficient strategy for utilizing a merit function in nonlinear programming algorithms -- Rates of convergence for secant methods on nonlinear problems in hilbert space -- The construction of preconditioners for elliptic problems by substructuring -- Some superconvergence results for mixed finite element methods for linear parabolic problems -- Nodal methods for the numerical solution of partial differential equations -- Singular perturbation problems in semiconductor devices -- Stability of capillary waves on deep water -- A block 5(4) explicit runge-kutta formula with "free" interpolation -- Sequential step control for integration of two-point boundary value problems.