Abstract
For square matrices, we can measure the sensitivity of the solution of the linear algebraic system Ax = b with respect to changes in vector b and in matrix A by using the notion of the condition number of matrix A. If the condition number is large, then the matrix is said to be ill-conditioned. Practically, such a matrix is almost singular, and the computation of its inverse or solution of a linear system of equations is prone to large numerical errors. In this chapter, we will investigate computational methods for solving Ax = b, and obtaining eigen values/vectors of A.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2007). Computational Aspects. In: Principles of Mathematics in Operations Research. International Series in Operations Research & Management Science, vol 97. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-37735-3_6
Download citation
DOI: https://doi.org/10.1007/978-0-387-37735-3_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-37734-6
Online ISBN: 978-0-387-37735-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)