Rayleigh Quotient Iteration

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PreciousAmethyst8499
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5 Questions

Which method does Rayleigh quotient iteration extend?

Inverse iteration

What type of method is Rayleigh quotient iteration?

Iterative method

What type of convergence is guaranteed by Rayleigh quotient iteration?

Rapid convergence

For which type of matrices does the Rayleigh quotient iteration algorithm converge cubically?

Hermitian or symmetric matrices

What is the role of the initial vector in the Rayleigh quotient iteration algorithm?

To estimate the eigenvectors

Test your knowledge on Rayleigh quotient iteration, an eigenvalue algorithm that uses the Rayleigh quotient to obtain accurate eigenvalue estimates. Explore the convergence and rapidity of this iterative method in this quiz.

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