Formula manipulation in ALGOL 68 and application to Routh's algorithm
Copyright policy )Formula manipulation in ALGOL 68 and application to Routh's algorithm
This paper presents an implementation of Routh's algorithm and the Schur criterion, in order to determine the location of the zeros of a complex polynomial in one variable, over the ring of multivariate polynomials with integral coefficients. Both algorithms are applied to the characteristic polynomials of multistep methods. Moreover, procedures are given for the arithmetic operations +,−,*,÷ with arbitrarily long integral numbers as operands.
Software, source code, etc. for problems pertaining to field theory, multistep methods, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Schur criterion, Software, source code, etc. for problems pertaining to functions of a complex variable, long integer arithmetic, Polynomials in real and complex fields: location of zeros (algebraic theorems), Routh's algorithm, Algorithms in computer science, location of the zeros of a complex polynomial
Software, source code, etc. for problems pertaining to field theory, multistep methods, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Schur criterion, Software, source code, etc. for problems pertaining to functions of a complex variable, long integer arithmetic, Polynomials in real and complex fields: location of zeros (algebraic theorems), Routh's algorithm, Algorithms in computer science, location of the zeros of a complex polynomial
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