Root-finding algorithms

Secant method

In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite-difference approximation of Newton's method. However, the secant method predates Newton's method by over 3000 years. (Wikipedia).

Secant method
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Secant Method | Lecture 15 | Numerical Methods for Engineers

Explanation of the secant method for finding the roots of a function. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/

From playlist Numerical Methods for Engineers

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Secant Method for Systems of Nonlinear Equations

Generalized Secant Method for Simultaneous Nonlinear Systems originally credited to Wolfe and Bittner. Lesson shows how to solve nonlinear systems without the Jacobian, nor the need to approximate it, in a straightforward and visual manner. Example code on GitHub https://www.github.com/osv

From playlist Solving Systems of Nonlinear Equations

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How to find x for a secant and a tangent line of a circle

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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Secant Method

Secant Method for finding roots of functions including examples and discussion about the order. Chapters 0:00 Intro 0:11 Drawback of Newton's Method 1:05 Secant Method Visualized 1:53 Secant Method Example 2:42 Order 3:05 Order Discussion 3:48 Thanks For Watching Further Viewing: False P

From playlist Root Finding

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Determine the missing value based on the length of two secant lines

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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Find the missing value using two secant lines from a point outside of the circle

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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Integral of sec(x) - A Nice Approach

Today, we integrate the secant function using a very peculiar approach.

From playlist Integrals

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How do the lengths of tangent and secant line compare from a point outside of a circle

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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How do the lengths of two secant lines from a point outside a circle compare

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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Generalized False Position & Alternative Secant Methods

False Position Method for Nonlinear Systems (aka Generalized Regula Falsi) along with two Alternative Secant Methods. Includes discussion of history and primary sources along with numeric examples and visualizations. Example code hosted on GitHub https://github.com/osveliz/numerical-veliz

From playlist Solving Systems of Nonlinear Equations

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chain rule for calculus (10 examples!)

In this video, I show two methods for applying the chain rule in calculus. As I go through 10 chain rule examples, I show how to apply the Chain Rule with Leibniz notation and show how to apply the chain rule using a shortcut. If this video was helpful, please LIKE and SUBSCRIBE. If you

From playlist Calculus 1

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Brent's Method

Dekker's Method, Inverse Quadratic Interpolation, and Brent's Method including example, code, and discussion of order. GitHub https://github.com/osveliz/numerical-veliz Chapters 00:00 Intro 00:12 Secant Method Recap 00:37 Bisection Method Recap 00:54 Dekker's Method History 01:35 Dekker's

From playlist Root Finding

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Calculus 2: How Do You Integrate? (27 of 300) Find the Integral of ... sec(x)dx (Method 1)

Visit http://ilectureonline.com for more math and science lectures! In this video I will find integral of [sec(x)dx]=? (Method 1) Next video in the series can be seen at: https://youtu.be/xHYzoVu5A1o

From playlist CALCULUS 2 CH 15 HOW DO YOU INTEGRATE?

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Broyden's Method

Broyden's Method for solving systems of nonlinear equations. Lesson covers motivation, history, examples, discussion, and order of this Quasi-Newton Method. It also explains the "Good" and "Bad", as well as the third version of the method. Example code hosted on GitHub https://github.com/o

From playlist Solving Systems of Nonlinear Equations

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What is the relationship of lengths for two secant lines from a point outside of a circle

Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of

From playlist Circles

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Mod-01 Lec-28 Jacobi Method

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

Related pages

Broyden's method | Secant line | Numerical analysis | Bisection method | Quasi-Newton method | Recurrence relation | Function (mathematics) | Root of a function | Newton's method | Golden ratio