Relative perturbation tan \(\Theta \)-theorems for definite matrix pairs

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Numerical linear algebra (65F99)

Cites Work

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Double angle theorems for definite matrix pairs
The rotation of eigenspaces of perturbed matrix pairs
Damped oscillations of linear systems. A mathematical introduction
The tan \(\theta \) theorem with relaxed conditions
The perturbation bounds for eigenspaces of a definite matrix-pair
A Jacobi eigenreduction algorithm for definite matrix pairs
An overview of relative \(\sin\Theta\) theorems for invariant subspaces of complex matrices
On the existence of solutions to the operator Riccati equation and the \(\tan\Theta\) theorem
A note on unifying absolute and relative perturbation bounds
A \(\sin 2\varTheta\) theorem for graded indefinite Hermitian matrices
Relative perturbation theory for hyperbolic eigenvalue problem
Principal angles between subspaces in an A-based scalar product: Algorithms and perturbation estimates
The rotation of eigenspaces of perturbed matrix pairs II
Rayleigh--Ritz Majorization Error Bounds of Mixed Type
Jacobi’s Method is More Accurate than QR
Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
On Perturbations of Matrix Pencils with Real Spectra
Majorization Bounds for Ritz Values of Self-Adjoint Matrices
Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators
The Rotation of Eigenvectors by a Perturbation. III
The tan Θ theorem for definite matrix pairs

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