Concise Guide to Numerical Algorithmics

PART I: RATIONALE AND FOUNDATIONS.- The discussion here is premised on the paper that accompanies this proposal..- Chapter 1: Algorithmics---The Spirit of Computing.- Chapter 2: Number ---The Language of Science.- Chapter 3: Bringing Number Under the Rubric of Algorithm.- PART II: NUMERICAL ALGORITHMIC SCIENCE.- Chapter 4: Algorithms on Graphs and Networks.- Chapter 5: Uni-Dimensional Equation-Solving and Optimization.- Chapter 6: Matrix-Based and Tensor-Based Computations.- Chapter 7: Linear Programming before the 1984 Revolution.- Chapter 8: Unconstrained Nonlinear Optimization.- Chapter 9: Nonlinear Equation-Solving.- Chapter 10: Constrained Nonlinear Optimization.- Chapter 11: Linear Programming after the 1984 Revolution.- Chapter 12: The Many Other Facets of Numerical Algorithmics.- PART III: CONVERGENCE, COMPLEXITY, AND NUMERICAL ERROR.- Chapter 13: Global Convergence and Asymptotic Rate-of-Convergence.- Chapter 14: Complexity Classes and Analysis.- Chapter 15: Roundoff-ErrorAnalysis.- PART IV: NUMERICAL ALGORITHMIC ENGINEERING.- Chapter 16: Languages and Systems.- Chapter 17: Implementation Techniques and Software Development.

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• Teoria matemática da computação
• Matemática para cientistas da computação
• Análise numérica
• A matemática discreta
• Pesquisa operacional
• Decisões de gestão

Computer science;Numerical algorithms;Algorithmic science;Algorithmic engineering;Scientific computing;Networks;Discrete algorithms;Optimization,;Matrix computations;Equation solving;Linear programming;Nonlinear programming;Hierarchical implementation;Matlab;Software engineering