A conjectured algorithm for determining the modulus of the dominant eigenvalue of an arbitrary square matrix

• Main Authors: Gonzalez, Emmanuel A., Estalilla, Aliento V.
• Format: text
• Published: Animo Repository 2007
• Subjects: Hermitian operators; Eigenvalues; Theory and Algorithms
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/9832
• Institution: De La Salle University

The known formula [ ] ( ) 1 1 / Tr N N λ = A , where A is an n n × Hermitian matrix, 1 λ is its dominant eigenvalue and N is a sufficiently large positive integer, is given the modification ( ) 1 1 / Tr N N λ = A . This modification is conjectured to apply to any n n × matrices, whether Hermitian or...