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Draghilev's method (solving systems of nonlinear equations)

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Draghilev's method (solving systems of nonlinear equations)

Example 1.

x^2 - y * x + y^2 = 1

sin( 5 * x^2 ) + sin( 4 * y^2 ) = 0

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example1/Draghilev%27s%20method.%20Finding%20roots.%20System%201.%20Mathcad15%202D.jpghttps://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example1/Draghilev%27s%20method.%20Finding%20roots.%20System%201.%20Mathcad15%203D.jpg

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Re: Draghilev's method (solving systems of nonlinear equations)

Example 2.

x^2 + y^2 - 8 = 0

sin( x * y ) * sin( exp( x * y ) ) = 0

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example5/Draghilev%27s%20method.%20Finding%20roots.%20System%204.%20Mathcad15%202D.jpg

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example5/Draghilev%27s%20method.%20Finding%20roots.%20System%204.%20Mathcad15%203D.jpg


Re: Draghilev's method (solving systems of nonlinear equations)

Example 3. Finding extremes: Himmelblau's function: f(x,y)=(x^2+y-11)^2+(x+y^2-7)^2

4 * x^3 + 4 * x * y - 42 * x + 2 * y^2 - 14 = 0

2 * x^2 + 4 * x * y + 4 * y^3 - 26 * y - 22 = 0

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example7/Draghilev%27s%20method.%20Finding%20roots.%20System%206.%20Mathcad15%202D.jpg

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example7/Draghilev%27s%20method.%20Finding%20roots.%20System%206.%20Mathcad15%203D.jpg

Re: Draghilev's method (solving systems of nonlinear equations)

Example 4.

tg( x * y + 0.1 ) - x^2 = 0

x^2 + 2 * y^2 - 1 = 0

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example6/Draghilev%27s%20method.%20Finding%20roots.%20System%205.%20Mathcad15%202D.jpg

https://dl.dropbox.com/u/68387680/Mathcad/Draghilev/Example6/Draghilev%27s%20method.%20Finding%20roots.%20System%205.%20Mathcad15%203D.jpg

Re: Draghilev's method (solving systems of nonlinear equations)

четкий!