Solving nonlinear systems of equations with only one nonlinear variable (Q916309)
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scientific article; zbMATH DE number 4153787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving nonlinear systems of equations with only one nonlinear variable |
scientific article; zbMATH DE number 4153787 |
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Solving nonlinear systems of equations with only one nonlinear variable (English)
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1990
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A method for solving systems of \(N+1\) equations in \(N+1\) unknowns \(y\in R\) and \(z\in R^ N\) of the form \(A(y)z+b(y)=0,\) where the \((N+1)\times N\) matrix A(y) and the vector b(y) are functions of y alone is presented. The problem is reduced to one equation in y only which is solved by Newton's method. Numerical experiments and two generalizations are discussed.
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one nonlinear variable
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Newton's method
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Numerical experiments
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