PRIMAL-DUAL ALGORITHMS LARGE SPARSE LINEAR SYSTEM CUTTING PROBLEMS BIODIESEL CONSTRAINT QUALIFICATION MAXIMUM LOADING POINT EXACT PENALITY MODELS CONVENTIONAL LOAD FLOW OTIMIZAÇÃO AUGMENTED LAGRANGIAN ORTHOGONAL PACKING PACKING PROBLEMS POWER GENERATION DISPATCH ALIGNMENT PROTEIN POWER SYSTEMS SECURITY VIOLATIONS ELIMINATION PACKING OF RECTANGLES POWER SYSTEM ANALYSIS VEGETABLE OILS OPTIMAL POWER FLOW MINIMIZATION WHIT EQUILIBRIUM CONSTRAINT DATA FITTING NEWTON'S METHOD SEQUENTIAL OPTIMALITY CONDITION SEQUENTIAL QUADRATIC PROGRAMMING HIGHER ORDER INTERIOR POINT METHOD PARTICIPATION FACTORS DECOUPLED METHODS HYDROELECTRIC-THERMAL POWER GENERATION GIBBS ENERGY MINIMIZATION EIGENANALYSIS SENTINELS OPTIMALITY CONDITION HANSEN PARAMETERS HYDROTHERMAL SYSTEMS GAUSS NEWTON METHODS POWER SYSTEM OPERATION GAMS SOFTWARE DEVELOPMENT ORDER VALUE OPTIMIZATION CHEMICAL EQUILIBRIUM COMPETITIVE ELECTRIC MARKET STOPPING CRITERIA POWER SYSTEMS OPERATION INEXACT RESTORATION METHODS HYDROELECTRIC-THERMAL GENERATION APPROXIMATE KKT CONDITIONS VOLTAGE STABILITY FEASIBILITY PROBLEMS OTIMIZACAO NAO LINEAR DE GRANDE PORTE RECURSIVE QUADRATIC PROGRAMMING WARD EQUIVALENT ALTERNATE ADJUSTMENTS PV BUS MODELING MATHEMATICAL PROGRAMMING MULTIPLE PREDICTOR-CORRECTOR SECOND ORDER OPTIMALITY CONDITION ALGORITHMIC CONVERGENCE PHASE EQUILIBRIUM LARGE SPARSE CONSTRAINED OPTIMIZATION PARAMETER ESTIMATION LOWER ORDER VALUE OPTIMIZATION MINIMUM LOAD SHEDDING