However, convergence is not always guaranteed in this method.

Its rate of convergence is 1.62, which is quite fast and high. Secant method is faster than other numerical methods, except the Newton Raphson method. Following the secant method algorithm and flowchart given above, it is not compulsory that the approximated interval should contain the root. Secant method is an improvement over the Regula-Falsi method, as successive approximations are done using a secant line passing through the points during each iteration. *Here x0 and x1 are the two initial guessesĮ is the stopping criteria, absolute error or the desired degree of accuracy* That means, two most recent fresh values are used to find out the next approximation. SEEKSET Return the numerical value to pass to fseek to perform one of the following actions: semilogx Produce a 2-D plot using a logarithmic scale for the x-axis. sech Compute the hyperbolic secant of each element of X. secd Compute the secant for each element of X in degrees. Here, at each successive iteration, two of the most recent guesses are used. Compute the secant for each element of X in radians. This method uses two initial guesses and finds the root of a function through interpolation approach.

Integer types are promoted to the double type prior to calculation of the sec function. The general syntax for its use is y sec (x) where x is an n -dimensional array of numerical type. The programming effort may be a tedious to some extent, but the secant method algorithm and flowchart is easy to understand and use for coding in any high level programming language. FreeMat - SEC Trigonometric Secant Function SEC Trigonometric Secant Function Section: Mathematical Functions Usage Computes the sec function for its argument. In Newtons method, an initial guess x0 for a root of the differentiable function f: R -> R is made. If a real-valued function is differentiable and the derivative is known, then Newtons method may be used to find an approximation to its roots. Secant method falls under open bracket type. Computing the solution of some given equation is one of the fundamental problems of numerical analysis. However, the method was developed independently of Newtons method, and predated the latter by over 3,000 years. So, this method is generally used as an alternative to Newton Raphson method. The secant method can be thought of as a finite difference approximation of Newtons method. It is a generalized from the Newton-Raphson method and does not require obtaining the derivatives of the function. Secant method is considered to be the most effective approach to find the root of a non-linear function.

Secant method freemat