• Methods of computing square roots are algorithms for approximating the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number...
    71 KB (12,354 words) - 04:28, 27 April 2025
  • Thumbnail for Fast inverse square root
    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 (4,653 words) - 16:11, 22 April 2025
  • Thumbnail for Newton's method
    Hessian matrix). Newton's method is one of many known methods of computing square roots. Given a positive number a, the problem of finding a number x such...
    70 KB (8,869 words) - 16:05, 13 April 2025
  • Thumbnail for Cube root
    (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"...
    15 KB (2,266 words) - 14:28, 3 March 2025
  • 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
  • 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...
    26 KB (3,191 words) - 20:43, 27 April 2025
  • Thumbnail for Square number
    involving several squares Integer square root – Greatest integer less than or equal to square root Methods of computing square roots – Algorithms for calculating...
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  • Thumbnail for Nested intervals
    Babylonians discovered a method for computing square roots of numbers. In contrast, the famed Archimedes constructed sequences of polygons, that inscribed...
    22 KB (4,102 words) - 16:36, 28 March 2025
  • further analysis of the convergence problem for continued fractions with complex elements. Lucas sequence Methods of computing square roots Pell's equation...
    11 KB (1,766 words) - 20:51, 19 March 2025
  • of an infinity. No flag is raised in certain cases of underflow. See Fast inverse square root and Methods of computing square roots#Iterative methods...
    63 KB (7,528 words) - 14:51, 10 April 2025
  • Thumbnail for Square root of 2
    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:...
    42 KB (6,089 words) - 12:30, 11 April 2025
  • 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 (2,522 words) - 04:55, 30 April 2025
  • Thumbnail for CORDIC
    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 (7,232 words) - 07:36, 25 April 2025
  • Thumbnail for Archimedes
    Archimedes paradox Archimedean solid Archimedes' twin circles Methods of computing square roots Salinon Steam cannon Zhang Heng Doric Greek: Ἀρχιμήδης, pronounced...
    72 KB (8,163 words) - 22:11, 30 April 2025
  • Thumbnail for 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 (5,787 words) - 00:50, 28 April 2025
  • complex-valued roots which may or may not be distinct. The solutions of a quadratic equation can be found by several alternative methods. It may be possible...
    53 KB (6,663 words) - 20:04, 15 April 2025
  • implementation of division (see division algorithm) and square root (see methods of computing square roots) operations, thus eliminating the need for dedicated...
    13 KB (1,377 words) - 12:01, 24 March 2025
  • 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) - 22:00, 16 April 2025
  • 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 (8,335 words) - 20:20, 17 April 2025
  • 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...
    72 KB (7,945 words) - 09:48, 26 April 2025
  • Thumbnail for Square root
    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 (6,200 words) - 03:23, 23 April 2025
  • 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...
    29 KB (4,651 words) - 22:14, 17 March 2025
  • 9¤ and receives 3¤ in change. Signed-digit representation Methods of computing square roots Numeral system Qutrit Salamis Tablet Ternary computer Setun...
    36 KB (4,106 words) - 08:26, 16 March 2025
  • 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 (1,379 words) - 20:29, 6 March 2025
  • Thumbnail for Midpoint circle algorithm
    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 (2,646 words) - 23:39, 25 February 2025
  • for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
    65 KB (7,874 words) - 06:55, 10 April 2025
  • for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
    11 KB (1,333 words) - 12:50, 15 February 2025
  • machine model is open, as of 1997. The main difficulty is that, in order to solve the problem, the square-roots should be computed to a high accuracy, which...
    10 KB (1,436 words) - 16:59, 19 January 2025
  • 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
  • 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 (1,776 words) - 21:31, 6 February 2025