The perfidious polynomial. (English) Zbl 0601.65028
The author describes his ”traumatic” experience in locating the largest root of the polynomial \(\prod^{20}_{\nu =1}(x-\nu)\) by the Newton- Raphson method in the early fifties when electronic computers came into general use. He discusses the relevant error analysis, the sensitivity of the roots, polynomials with multiple roots and polynomial deflation.
Reviewer: Detlef Krüger (Berlin)
MSC:
65H05 | Numerical computation of solutions to single equations |
26C10 | Real polynomials: location of zeros |