Advanced Mathematics for Nuclear Chemical Engineering August 2020 UMass Lowell; Prof. V. F. de Almeida 06Aug2020
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The course notes in ChEn-3170-nonlinalg-a, ChEn-3170-nonlinalg-b, and ChEn-3170-nonlinalg-c progressively cover basic elements of Newton's method for non-linear system of algebraic equations as applied to chemical reactions in equilibrium. These elements apply equaly well to general system of non-linear algebraic equations. Computational examples are found in ChEn-3170 Notebook 13, ChEn-3170 Notebook 14 and ChEn-3170 Notebook 15.
The non-linear least-squares method handles cases when the relationship between parameters is non-linear. Similarly to its linear counterpart, it has widespread applications in engineering and science.
The non-linear least-squares method is an example of the usage of Newton's method for non-linear algebraic equations. Notes can be found in ChEn-3170-nllsq, and examples in ChEn-3170 Notebook 16