Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

1996 • Question 4

Question

Math 6610 • Analysis of Numerical Methods I 1996 • Question 4
**Condition Number.** What is the condition number of a square matrix \(A\)? Suppose you solve a linear system \(Ax=b\). How do you use the condition number to gauge the accuracy of your numerical solution? Give a formula. **Math 662: Interpolation, Quadrature, Approximation, Nonlinear Systems, Optimization.**

Raw LaTeX

\textbf{Condition Number.} What is the condition number of a square matrix \(A\)?
Suppose you solve a linear system \(Ax=b\). How do you use the condition number to
gauge the accuracy of your numerical solution? Give a formula.

\topic{Math 662: Interpolation, Quadrature, Approximation, Nonlinear Systems,
Optimization.}

Topic Tags

Iterative Methods for Linear Systems Linear Programming and Optimization Numerical Quadrature Quadrature Rules