On Kramer–Weaire filtering method for eigenvectors

Abstract

Residual error e _r of an interior eigenvector obtained via repeated application of filtering matrix onto an arbitrary initial vector, N1 times, is estimated and is found to be approximately O(N1⁻¹).

Keywords:

• eigenvector
• filtering operator
• error

2000 AMS Subject Classifications :

• 15A18
• 15A90
• 15A52

Acknowledgements

The authors thank BIYEP principality of Ankara University for their financial support. Thanks are also due to the head of department, Prof. Dr. C. Tarimci for his encouragement.