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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Spring 2016 • Question 2

Question

Math 6610 • Analysis of Numerical Methods I Spring 2016 • Question 2

Numerical Algorithm to Find Eigenvectors/Eigenvalues

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

Raw LaTeX

{Numerical Algorithm to Find Eigenvectors/Eigenvalues}

State the Inverse Iteration Algorithm to find eigenvectors/eigenvalues 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