Error bounds on the power method for determining the largest eigenvalue of a symmetric, positive definite matrix

DOI10.1016/S0024-3795(98)10020-4zbMath0935.65027MaRDI QIDQ1808933

Joel Friedman

Publication date: 15 February 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmerror boundslargest eigenvaluepower methodRayleigh quotientspositive definite, symmetric matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (2)

Extreme eigenfunctions of adjacency matrices for planar graphs employed in spatial analyses ⋮ Quantum algorithm for estimating largest eigenvalues

Cites Work

• Estimating Extremal Eigenvalues and Condition Numbers of Matrices
• Estimating the Largest Eigenvalue of a Positive Definite Matrix
• On Estimating the Largest Eigenvalue with the Lanczos Algorithm
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