On relations between right and left eigenvectors of nonselfadjoint matrix pencils
R. Zezula, J. Roček, A. Miasnikov (1977)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Principal component analysis : some majorisation, perturbation and nonnegative matrix theory”
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
About an inverse eigenvalue problem arising in vibration analysis
Hua Dai (1995)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Arnoldi-Tchebychev procedure for large scale nonsymmetric matrices
Diem Ho, Françoise Chatelin, Maria Bennani (1990)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Canonical correlation analysis as a starting point for extensions of correspondence analysis
Renate Meyer (1991)
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The Sherman-Morrison formula and eigenvalues of a special bordered matrix.
Trenkler, G., Trenkler, D. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Perturbation theorems for the matrix eigenvalue problem
Elsner, L. (1985-1986)
Portugaliae mathematica
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Bounds of modulus of eigenvalues based on Stein equation
Guang-Da Hu, Qiao Zhu (2010)
Kybernetika
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This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.