Matches in SemOpenAlex for { <https://semopenalex.org/work/W88123560> ?p ?o ?g. }
- W88123560 endingPage "138" @default.
- W88123560 startingPage "1" @default.
- W88123560 abstract "We discuss the secant method:xi+1=xi-fixi-xi-1fi-fi-1(i=1,2,3,…)where (x0,f0),(x1,f1) are initial guesses. In the Regula Falsi variation we start with initial guesses (a,f(a)) and (b,f(b)) such that f(a)f(b)<0; after an iteration similar to the above we replace either a or b by the new value xi+1 depending on which of f(a) or f(b) has the same sign as f(xi+1). Often one of the points gets “stuck,” and several variants such as the Illinois or Pegasus methods and variations are used to “unstick” it. We discuss convergence and efficiency of most of the methods considered. We treat methods involving quadratic of higher order interpolation and rational approximation. We also discuss the bisection method where again f(a)f(b)<0 and we set c=a+b2. We replace a or b by c according to the sign of f(c) as in the Regula Falsi method. Various generalizations are described, including some for complex roots. Finally we consider hybrid methods involving two or more of the previously described methods." @default.
- W88123560 created "2016-06-24" @default.
- W88123560 creator A5056866601 @default.
- W88123560 creator A5064991387 @default.
- W88123560 date "2013-01-01" @default.
- W88123560 modified "2023-09-23" @default.
- W88123560 title "Bisection and Interpolation Methods" @default.
- W88123560 cites W111776052 @default.
- W88123560 cites W149340151 @default.
- W88123560 cites W1559629805 @default.
- W88123560 cites W170504220 @default.
- W88123560 cites W175863145 @default.
- W88123560 cites W1970124328 @default.
- W88123560 cites W1971389537 @default.
- W88123560 cites W1971545142 @default.
- W88123560 cites W1972417972 @default.
- W88123560 cites W1972799433 @default.
- W88123560 cites W1973072613 @default.
- W88123560 cites W1973842873 @default.
- W88123560 cites W1973917838 @default.
- W88123560 cites W1974176735 @default.
- W88123560 cites W1974228408 @default.
- W88123560 cites W1975750195 @default.
- W88123560 cites W1977395093 @default.
- W88123560 cites W1978374154 @default.
- W88123560 cites W1979349464 @default.
- W88123560 cites W1979843415 @default.
- W88123560 cites W1981634577 @default.
- W88123560 cites W1983453212 @default.
- W88123560 cites W1983497198 @default.
- W88123560 cites W1983546365 @default.
- W88123560 cites W1989019717 @default.
- W88123560 cites W1989513313 @default.
- W88123560 cites W1989774703 @default.
- W88123560 cites W1991784506 @default.
- W88123560 cites W1993567181 @default.
- W88123560 cites W1995250895 @default.
- W88123560 cites W1995510042 @default.
- W88123560 cites W1996832315 @default.
- W88123560 cites W1999003573 @default.
- W88123560 cites W2000705831 @default.
- W88123560 cites W2006096413 @default.
- W88123560 cites W2008813271 @default.
- W88123560 cites W2010355603 @default.
- W88123560 cites W2010464263 @default.
- W88123560 cites W2011338855 @default.
- W88123560 cites W2014855291 @default.
- W88123560 cites W2015773120 @default.
- W88123560 cites W2016014215 @default.
- W88123560 cites W2017708893 @default.
- W88123560 cites W2017738738 @default.
- W88123560 cites W2018534948 @default.
- W88123560 cites W2019499439 @default.
- W88123560 cites W2019599627 @default.
- W88123560 cites W2021410786 @default.
- W88123560 cites W2021419267 @default.
- W88123560 cites W2022857670 @default.
- W88123560 cites W2023385580 @default.
- W88123560 cites W2024463451 @default.
- W88123560 cites W2027917065 @default.
- W88123560 cites W2028420532 @default.
- W88123560 cites W2028578744 @default.
- W88123560 cites W2031756034 @default.
- W88123560 cites W2036490136 @default.
- W88123560 cites W2039120927 @default.
- W88123560 cites W2041939310 @default.
- W88123560 cites W2042522538 @default.
- W88123560 cites W2042567159 @default.
- W88123560 cites W2044643529 @default.
- W88123560 cites W2045269317 @default.
- W88123560 cites W2046615358 @default.
- W88123560 cites W2046941888 @default.
- W88123560 cites W2049063490 @default.
- W88123560 cites W2051014615 @default.
- W88123560 cites W2053378516 @default.
- W88123560 cites W2055308255 @default.
- W88123560 cites W2056083828 @default.
- W88123560 cites W2058516352 @default.
- W88123560 cites W2059154724 @default.
- W88123560 cites W2059826422 @default.
- W88123560 cites W2060959271 @default.
- W88123560 cites W2064695888 @default.
- W88123560 cites W2065049052 @default.
- W88123560 cites W2067757467 @default.
- W88123560 cites W2070932448 @default.
- W88123560 cites W2071467636 @default.
- W88123560 cites W2072306804 @default.
- W88123560 cites W2073556275 @default.
- W88123560 cites W2075771881 @default.
- W88123560 cites W2076036812 @default.
- W88123560 cites W2076238615 @default.
- W88123560 cites W2079003915 @default.
- W88123560 cites W2081767508 @default.
- W88123560 cites W2082564276 @default.
- W88123560 cites W2083368929 @default.
- W88123560 cites W2083577496 @default.
- W88123560 cites W2083774822 @default.
- W88123560 cites W2084449076 @default.