Civil and Environmental Engineering 2219A/B Study Guide - Quiz Guide: False Position Method, Triangular Matrix, Gaussian Elimination

• School: Western University
• Department: Civil and Environmental Engineering
• Course: Civil and Environmental Engineering 2219A/B
• Professor: Martha Dagnew

Document Summary

Numerical analysis is most broadly defined as the study of algorithms that use analytical solutions for the problems of mathematical analysis. Truncation errors occur from using an approximation in place of an exact mathematical procedure. Matrices must not be the same size in order to perform multiplication. In [a]{x} = {b}, b represents the constant matrix. When convergence is a priority, the bisection and false position methods are the appropriate roots methods. Any matrix multiplied by the identity matrix is itself. During an iterative process to solve a system of linear equations, convergence can be sped up by implementing relaxation. The false position method makes use of interpolation to find the roots. An advantage of the secant method is that you do not need to calculate the derivative of the function. The newton-raphson method is based on forming a tangent line to f(x) at x. = false position a. b. c. d. e.