Estimates of ‖MGN‖ and Their Applications to the Convergence of Splitting Methods of Linear Interval Equations
✍ Scribed by Li Youming; Song Guoxiang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 126 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
Using the properties of diagonally dominant interval matrices defined in a 5 G 5 previous paper, a group of conditions and criteria are given for estimating M N Ž G . M is the Gauss-inverse of M , which are more useful than those of the 5 G 5 well-known estimate of M . By applying these results to the convergence of splitting methods used for solving linear interval equations such as the Jacobi, Gauss᎐Seidel, SOR, and regular splitting equations, we obtain some new results.
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