Kron's method for symmetric eigenvalue problems

✍ Scribed by S.H. Lui

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 769 KB
• Volume: 98
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00110-1

✦ Synopsis

Kron's method has been used successfully by engineers for over 30 years to find eigenvalues of large symmetric matrices. These matrices arise from domain decomposition of nonoverlapping domains of self-adjoint partial differential operators. This paper discusses some theoretical aspects of Kron's method. Specifically, the poles and zeroes of eigenvalues of the Kron matrix and their relationships with the eigenvalues of the original matrix are given.