Equation

Algorithm in nodejs to solve nonlinear equation systems using Newton-Raphson numeric method

IN TESTING.NEEDS SOME IMPROVEMENTS.*

TESTED WITH NODEJS v4.4.2

git clone https://git.luisvmf.com/Equation

Solve systems of non linear equations using Newton-Raphson numeric method. Complex numbers and these functions can be used.

    acsch( )
    acsc( )
    csch( )
    csc( )
    atanh( )
    asec( )
    asinh( )
    atan( )
    acos( )
    asin( )
    sin( )
    cot( )  
    asech( )
    acosh( )
    acsc( )
    sinh( )
    cosh( )
    tanh( )
    cos( )
    tan( )
    sech( )
    sec( )
    acoth( )
    acot( )

    sqrt( )
    log( )               (Natural logarithm)
    log10( ) 

All the lower case letters of the alphabet except "i" can be used as variables.
"i" is equal to sqrt(-1).

Using a^b on one equation means that a is to the power b. 

EXAMPLES::.

        luisvmf@Bieka ~/Desktop/Equationgit/Equation $ node main.js --eq="(x-2)^2-5*x=0"

        {
            'Equation-solution':{
               {'x':'0.46887000000000006','Yerror':'0'}
            }
            'Processing-info':{
                {'Processing-time':'86ms'},
                {'Numerical-method':'Newton-Raphson'}
            }
        }
        __________________________________________________________________________

        luisvmf@Bieka ~/Desktop/Equationgit/Equation $ node main.js --eq="sin(cos(x))=x^2-3"
        {
            'Equation-solution':{
               {'x':'1.69578','Yerror':'0'}
            }
            'Processing-info':{
                {'Processing-time':'57ms'},
                {'Numerical-method':'Newton-Raphson'}
            }
        }

        __________________________________________________________________________

        luisvmf@Bieka ~/Desktop/Equationgit/Equation $ node main.js --eq="cos(x)-2*y^2=9*x,3.9*x^3-5*y+z=0,z-3=2*x+a,a-2=0"
        {
            'Equation-solution':{
               {'a':'2','Yerror':'0'},
               {'x':'-0.09479000000000001','Yerror':'0'},
               {'y':'0.96142','Yerror':'0'},
               {'z':'4.81041','Yerror':'0'}
            }
            'Processing-info':{
                {'Processing-time':'117ms'},
                {'Numerical-method':'Newton-Raphson'}
            }
        }
        __________________________________________________________________________
        luisvmf@Bieka ~/Desktop/Equationgit/Equation $ node main.js --eq="cos(x)-2*y^2=9*x*i,3.9*x^3-5*y+z=0,z-3=2*x+a,a-2=0"
        {
            'Equation-solution':{
               {'a':'2','Yerror':'0'},
               {'x':'-0.0183 + 0.10707000000000001i','Yerror':'0'},
               {'y':'0.9931700000000001 + 0.041960000000000004i','Yerror':'0'},
               {'z':'4.9634 + 0.21415i','Yerror':'0'}
            }
            'Processing-info':{
                {'Processing-time':'169ms'},
                {'Numerical-method':'Newton-Raphson'}
            }
        }