Input: A function of x (for example x 3 x 2 + 2. For simplicity, we have assumed that derivative of function is also provided as input. Here f (x) represents algebraic or transcendental equation. Unlike Newton's method, the GaussNewton algorithm can only be used to minimize a sum of squared function values, but it has the advantage. Given a function f (x) on floating number x and an initial guess for root, find root of function in interval. It is a modification of Newton's method for finding a minimum of a function. Satyajit Bhuyan received B.E Degree from Dibrugarh University, India in 1986 and M.E from Jadavpur University, Kolkata, India in 2002 and Ph. Numerical differentiations and integrations: Trapezoidal, Simpson’s 1/3rd and 3/8 th rule.
Interpolation: Newton’s formula, Lagrange’s formula. Molotov (21) ((1) Astronomical Institute of the Czech Academy of Sciences, Ondrejov, Czech Republic (2) Department of Aerospace Engineering Sciences, The University of Colorado at Boulder, (3) Sugarloaf Mountain Observatory, South Deerfield, MA, (4) Modra Observatory, Slovakia, (5) Institute of Astronomy of Kharkiv National University, Kharkiv, Ukraine, (6) Lowell Observatory, Flagstaff, AZ, (7) Lunar and Planetary Laboratory, University of Arizona, Tucson, AZ, (8) U.S. The GaussNewton algorithm is used to solve non-linear least squares problems. ETAP software, International Journal of Scientific & Engineering Research Volume 4, Issue 2, February-2013,ISSN 2229-5518. (d) Numerical Analysis: Solving linear systems with Gaussian elimination and Gauss-Jordan elimination method.
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