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U:RDoc::NormalModule[iI"Newton:EF@0o:RDoc::Markup::Document:@parts[o;;[o:RDoc::Markup::Paragraph;[I"newton.rb;To:RDoc::Markup::BlankLine o; ;[I"MSolves 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) ;FI"3where n is the number of iterations required, ;FI") x is the initial value vector ;FI"] f is an Object which is used to compute the values of the equations to be solved. ;Fo; ;[I"+It must provide the following methods:;T@o:RDoc::Markup::List: @type: NOTE:@items[o:RDoc::Markup::ListItem:@labelI"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 1.0;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[ [ [[I"LUSolve;Fo;;[ ;0@I[I" Jacobian;Fo;;[ ;0@I[[I" class;F[[:public[ [:protected[ [:private[ [I" instance;F[[;[[I"nlsolve;F@I[I" norm;F@I[;[ [;[