MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS

Index

A

Accelerating generators, 23–24

approximation to the zero:

initial, 2, 9, 11, 15, 28, 40, 128, 193, 196

Aberth’s approach, 244

intermediate, 155, 211, 214, 215, 220, 221

penultimate, 214

ultimate, 214, 215

arithmetic of disks, 259

asymptotic error constant (AEC), 3, 4, 19, 20, 32, 36, 37, 46, 47, 53, 60, 86, 88, 92, 94, 98, 103, 107, 116, 121, 135, 136, 145–146, 162, 184, 186–187, 219

of King-Traub’s family (I), 170

of King-Traub’s family (II), 170

B

Bachman-Landau o-notation, 203

bilinear interpolation, 89, 153

C

Chebyshev’s method, 17, 20, 32, 243

circular arithmetic operations, 259

circular complex arithmetic, 258

coefficient of efficiency, 8

complex circular extension, of complex

function, 259

computational cost, 8–10

number of function ...