Patterns with several multiple eigenvalues

Abstract

Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further. This work generalizes earlier work on response matrices from circularlysymmetric models.

Keywords

• multiple eigenvalues
• patterned matrix
• special periodic diagonal matrices (pdm)
• symmetric toeplitz matrices
• 15a18
• 15b05
• 15b57
• 15b99