Nonlinear Systems and Optimization for the Chemical Engineer

PrefaceFUNCTION ROOT-FINDINGIntroductionSubstitution AlgorithmsBolzano's AlgorithmFunction ApproximationUse of a Multiprocessor Machine with a Known Interval of UncertaintySearch for an Interval of UncertaintyStop CriteriaClasses for Function Root-FindingCase StudiesTests for BzzFunctionRoot and BzzFunctionRootMP ClassesSome CaveatsONE-DIMENSIONAL OPTIMIZATIONIntroductionMeasuring the Efficiency of the Search for the MinimumComparison MethodsParabolic InterpolationCubic InterpolationGradient-Based MethodsCombination of Algorithms in a General ProgramParallel ComputationsSearch for the Interval of UncertaintyStop CriteriaClasses for One-Dimensional MinimizationCase StudiesTestsUNCONSTRAINED OPTIMIZATIONIntroductionHeuristic MethodsGradient-Based MethodsConjugate Direction MethodsNewton's MethodModified Newton MethodsQuasi-Newton MethodsNarrow Valley EffectStop CriteriaBzzMath Classes for Unconstrained Multidimensional MinimizationCase StudyTestsLARGE-SCALE UNCONSTRAINED OPTIMIZATIONIntroductionCollecting a Sparse Symmetric MatrixOrdering the Hessian Rows and ColumnsQuadratic FunctionsHessian EvaluationNewton's MethodInexact Newton MethodsPractical PreconditionersopenMP ParallelizationClass for Large-Scale Unconstrained MinimizationROBUST UNCONSTRAINED MINIMIZATIONIntroductionOne-Dimensional MinimizationClasses for One-Dimensional Robust MinimizationExamples in One-Dimensional SpaceExamples in Multidimensional SpaceTwo-Dimensional SpaceClasses for Robust Two-Dimensional MinimizationExamples for BzzMinimizationTwoVeryRobust ClassMultidimensional Robust MinimizationClass for Robust Multidimensional MinimizationROBUST FUNCTION ROOT-FINDINGIntroductionClass and ExamplesNONLINEAR SYSTEMSIntroductionComparing Nonlinear Systems to Other Iterative ProblemsConvergence TestSubstitution MethodsMinimization MethodsJacobian EvaluationNewton's MethodGauss-Newton MethodModified Newton MethodsNewton's Method and Parallel ComputationsQuasi-Newton MethodsQuasi-Newton Methods and

Guido Buzzi-Ferraris is full professor of process systems engineering at Politecnico di Milano, Italy, where he holds two courses: "Methods and Numerical Applications in Chemical Engineering" and "Regression Models and Statistics". He works on numerical analysis, statistics, differential systems, and optimization. He has authored books of international relevance on numerical analysis, such as "Scientific C++" edited by Addison-Wesley, and over than 200 papers on international magazines. He is the inventor and the developer of BzzMath library, which is currently adopted by academies, R&D groups, and industries. He is permanent member of the "EFCE Working Party - Computer Aided Process Engineering" since 1969 and editorial advisory board of "Computers & Chemical Engineering" since 1987.Flavio Manenti is assistant professor of chemical engineering at Politecnico di Milano, Italy. He obtained his academic degree and PhD at Politecnico di Milano, where he currently collaborates with Professor Buzzi-Ferraris. He holds courses on "Process Dynamics and Control of Industrial Processes" and "Supply Chain Optimization" and he works on numerical analysis, process control and optimization. He has also received international scientific awards, such as Memorial Burianec (Prague, CZ) and Excellence in Simulation (Lake Forest, CA, USA), for his research activities and scientific publications.