recursion - Recursively appending to vector in MATLAB -


i'm working on assignment number of eigenvalues of tridiagonal symmetrical matrix located in interval [a,b) have found. need use bisection algorithm find these eigenvalues , have outputted in form of vector e. function function [ e ] = bisection(a, a, b, tol) tol being accepted error margin.

% if tolerance met, add (a + b)/2 e many times there % eigenvalues left in [a,b). recursive stopping criterium. if(b - < tol)     = 1:n         e = [e; (a + b)/2];     end end  % if there eigenvalues left in [a,b), add new eigenvalues e through % recursion. if(n > 0)     e = [e; bisection(a, a, (a+b)/2, tol); bisection(a, (a+b)/2, b, tol)]; end  e = [];

what i'm trying expanding vector e function call of bisection. error: 

??? undefined function or variable "e".  error in ==> bisection @ 56     e = [e; bisection(a, a, (a+b)/2, tol); bisection(a, (a+b)/2, b, tol)];

i made empty vector e, can't put inside function. there way expand vector recursively?

if cannot put empty starting vector in function, should pass input argument.

this top level code example:

e = []; e = myrecursivefunction(e,inputs,stoppingcriteria)

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