Methods of computing square roots are algorithms for approximating the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number...
69 KB (11,849 words) - 20:41, 20 August 2024
case of concavity, this modification coincides with the standard Newton method. Newton's method is one of many known methods of computing square roots. Given...
66 KB (8,364 words) - 01:19, 25 October 2024
such as CORDIC. Methods of computing square roots § Approximations that depend on the floating point representation Magic number Use of the type long reduces...
34 KB (4,526 words) - 12:48, 27 September 2024
integer square root calculation in addition to the general case or can be extended by libraries to this end. Methods of computing square roots The square roots...
24 KB (3,067 words) - 23:24, 16 October 2024
Cube root (redirect from Numerical methods for calculating cube roots)
(section 2.5). Methods of computing square roots List of polynomial topics Nth root Square root Nested radical Root of unity "In Search of a Fast Cube Root"...
13 KB (1,968 words) - 14:37, 22 October 2024
Nested intervals (redirect from Nested sequence of closed intervals)
Babylonians discovered a method for computing square roots of numbers. In contrast, the famed Archimedes constructed sequences of polygons, that inscribed...
22 KB (4,101 words) - 19:08, 25 July 2024
involving several squares Integer square root – Greatest integer less than or equal to square root Methods of computing square roots – Algorithms for calculating...
17 KB (2,534 words) - 23:50, 11 August 2024
function nth root (radical) Surd Square root Methods of computing square roots Cube root Root of unity Constructible number Complex conjugate root theorem...
5 KB (441 words) - 01:35, 1 December 2023
Newton's method (frequently with an initial guess of 1), to compute the square root of a positive real number. When computing square roots with logarithm...
48 KB (6,184 words) - 05:29, 2 November 2024
CORDIC (redirect from Logarithmic Computing Instrument)
the advantage that it does not need a scaling factor (K). Methods of computing square roots IEEE 754 Floating-point units Digital Circuits/CORDIC in Wikibooks...
71 KB (7,227 words) - 05:13, 19 August 2024
Archimedes (redirect from Archimedes of Syracuse)
Archimedes paradox Archimedean solid Archimedes' twin circles Methods of computing square roots Salinon Steam cannon Diocles Pseudo-Archimedes Zhang Heng...
87 KB (9,763 words) - 15:43, 3 November 2024
fixed point (see Methods of computing square roots); it is this fixed point whose value will be approximated. This pseudo code also computes the Aitken approximation...
12 KB (1,967 words) - 15:01, 24 September 2024
implementation of division (see division algorithm) and square root (see methods of computing square roots) operations, thus eliminating the need for dedicated...
14 KB (1,445 words) - 05:37, 12 July 2024
roots. The oldest method for computing the number of real roots, and the number of roots in an interval results from Sturm's theorem, but the methods...
18 KB (2,668 words) - 19:35, 22 September 2024
Balanced ternary (section Square roots and cube roots)
qutrit and systems that use it. Signed-digit representation Methods of computing square roots Numeral system Qutrit Salamis Tablet Ternary computer Setun...
35 KB (3,989 words) - 05:49, 12 March 2024
Midpoint circle algorithm (section Jesko's Method)
coordinates of these end points, where it is necessary to resort to trigonometric or square root computations (see Methods of computing square roots). Then...
14 KB (2,644 words) - 21:58, 8 August 2024
Brāhmasphuṭasiddhānta (redirect from Correctly Established Doctrine of Brahma)
understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of solving linear...
4 KB (407 words) - 11:50, 8 August 2024
for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
10 KB (1,286 words) - 21:25, 8 July 2024
calculators, is the Babylonian method for computing square roots, an example of Newton's method for computing roots of arbitrary functions. It goes as follows:...
40 KB (5,808 words) - 00:08, 3 November 2024
further analysis of the convergence problem for continued fractions with complex elements. Lucas sequence Methods of computing square roots Pell's equation...
10 KB (1,765 words) - 08:50, 24 July 2024
Yet another iterative method is obtained by taking the well-known formula of the Babylonian method for computing the square root of a real number, and applying...
28 KB (4,606 words) - 11:59, 9 October 2024
beta min algorithm: an approximation of the square-root of the sum of two squares Methods of computing square roots nth root algorithm Summation: Binary...
71 KB (7,829 words) - 19:14, 31 October 2024
algorithm De Casteljau's algorithm Square roots and other roots: Integer square root Methods of computing square roots nth root algorithm hypot — the function...
70 KB (8,336 words) - 05:14, 24 June 2024
Linear continuum (section Applications of the theorem)
closer rational upper bound; details at Methods of computing square roots § Heron's method.) The ordered set of non-negative integers with its usual order...
9 KB (1,370 words) - 15:07, 6 April 2023
Quadratic formula (redirect from Derivation of quadratic formula)
Mastronardi, Nicola; Van Dooren, Paul (2015), "Revisiting the stability of computing the roots of a quadratic polynomial", Electronic Transactions on Numerical...
35 KB (5,783 words) - 19:29, 4 November 2024
Cubic equation (redirect from Cardano's method)
coefficients, the four basic arithmetic operations, square roots, and cube roots. (This is also true of quadratic (second-degree) and quartic (fourth-degree)...
68 KB (10,291 words) - 16:44, 23 October 2024
{\sqrt {-856}}{\pmod {b\cdot 856+41}}} can be used instead. Methods of computing square roots Adolf Kunerth, "Sitzungsberichte. Academie Der Wissenschaften"...
4 KB (870 words) - 04:56, 9 September 2024
find all roots (see Root-finding algorithm § Roots of polynomials) or all real roots (see Real-root isolation). This method is named in honour of the French...
11 KB (1,783 words) - 06:21, 19 October 2024
equations by equating the square root of the left side with the positive and negative square roots of the right side. Solve each of the two linear equations...
52 KB (6,541 words) - 12:37, 28 September 2024