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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Spring 2020 • Question 4

Question

Math 6610 • Analysis of Numerical Methods I Spring 2020 • Question 4

Numerical Algorithm to Find Eigenvalues/Eigenvectors

State the Rayleigh Quotient Iteration Algorithm to find eigenvalues/eigenvectors for general real symmetric matrix \(A\in \mathbb {R}^{m\times m}\).

Raw LaTeX

{Numerical Algorithm to Find Eigenvalues/Eigenvectors}

State the Rayleigh Quotient Iteration Algorithm to find eigenvalues/eigenvectors
for general real symmetric matrix \(A\in\R^{m\times m}\).

Topic Tags

Eigenvalues, Spectral Radius, and Gershgorin Theorem Fixed-Point Iteration Linear Programming and Optimization Rayleigh Quotient Iteration