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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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