Numerical Methods for Roots of Polynomials - Part II

Index

(t,s)-center, 690–691, 693–694, 700

4th-order methods: King’s family, 94

A

Aitken’s method, 116

Regula Falsi, 119

Abel, xiii

Accuracy required, xvi

Adomian Decomposition, 280–282

Al Khwarismi, xiii

Annulus

basic, 640, 678, 702

relative width of, 643, 686, 709–710

splitting over, 643

Approximation, xvii

Arithmetic Mean Newton’s Method, 291–292

Arithmetic time, 633–636, 701–702

Asymptotic constant, 122–123

B

Babylonians, xiii

Bairstow’s method, 504–509

complex roots, 515

convergence, 504–505

generalizations, 509–514

multiple factors, 514–515

rounding errors, 506

simultaneous version, 507–508

stopping criteria, 506–507

Bernoulli’s method, xiii

2nd highest root, 387

acceleration, 387–394

Aitken’s version, 387–394

complex roots, 385–387

convergence, ...