U:RDoc::NormalModule[iI"Newton:ET@0o:RDoc::Markup::Document:@parts[o;;[o:RDoc::Markup::Paragraph;[I"newton.rb;To:RDoc::Markup::BlankLineo;	;[I"NSolves the nonlinear algebraic equation system f = 0 by Newton's method. ;TI"1This program is not dependent on BigDecimal.;T@o;	;[I"
To call:;To:RDoc::Markup::Verbatim;[	I"  n = nlsolve(f,x)
;TI"3where n is the number of iterations required,
;TI")      x is the initial value vector
;TI"]      f is an Object which is used to compute the values of the equations to be solved.
;T:@format0o;	;[I"+It must provide the following methods:;T@o:RDoc::Markup::List:
@type:	NOTE:@items[o:RDoc::Markup::ListItem:@label[I"f.values(x);T;[o;	;[I"-returns the values of all functions at x;T@o;;[I"f.zero;T;[o;	;[I"returns 0.0;To;;[I"
f.one;T;[o;	;[I"returns 1.0;To;;[I"
f.two;T;[o;	;[I"returns 2.0;To;;[I"
f.ten;T;[o;	;[I"returns 10.0;T@o;;[I"
f.eps;T;[o;	;[I"
�returns the convergence criterion (epsilon value) used to determine whether two values are considered equal. If |a-b| < epsilon, the two values are considered equal.;T@o;	;[I"'On exit, x is the solution vector.;T:
@fileI",ext/bigdecimal/lib/bigdecimal/newton.rb;T:0@omit_headings_from_table_of_contents_below0;0;0[[[[I"LUSolve;To;;[;@O;0I",ext/bigdecimal/lib/bigdecimal/newton.rb;T[I"
Jacobian;To;;[;@O;0@W[[I"
class;T[[:public[[:protected[[:private[[I"
instance;T[[;[[I"nlsolve;T@W[;[[;[[[U:RDoc::Context::Section[i0o;;[;0;0[@O@OcRDoc::TopLevel