Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix

DOI10.1016/0024-3795(76)90029-XzbMath0359.65030OpenAlexW1984063140WikidataQ126778036 ScholiaQ126778036MaRDI QIDQ1238596

Ludwig Elsner

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90029-x

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (11)

On a class of methods for the computation of the spectral radius and the Perron vector of a nonnegative, irreducible matrix ⋮ A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor ⋮ Solving multi-linear systems with \(\mathcal {M}\)-tensors ⋮ Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor ⋮ On the Perron root and eigenvectors associated with a subshift of finite type ⋮ Two-step Noda iteration for irreducible nonnegative matrices ⋮ Noda iterations for generalized eigenproblems following Perron-Frobenius theory ⋮ Accurate computation of the smallest eigenvalue of a diagonally dominant $M$-matrix ⋮ Reguläre Zerlegung und Berechnung des Spektralradius nichtnegativer Matrizen ⋮ Inexact generalized Noda iterations for generalized eigenproblems ⋮ A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix

Cites Work

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• An elementary proof of the Hopf inequality for positive operators
• Bounds for Perron eigenvectors and subdominant eigenvalues of positive matrices
• Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix
• Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen. II. (A method for calculating the spectral radius of non- negative irreducible matrices. II)

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