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Design of Damping and Control Matrices by Modification of Eigenvalues and Eigenvectors [PDF]
Shock and Vibration, 1994 Direct methods are presented, in state space, for design of control matrices for structures with and without initial viscous damping. given the desired changes in the eigenvalues and eigenvectors.
Vernon H. Neubert
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On Differentiating Eigenvalues and Eigenvectors [PDF]
Econometric Theory, 1985 Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
Jan R. Magnus
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Dirac eigenvalues and eigenvectors at finite temperature [PDF]
, 2001 We investigate the eigenvalues and eigenvectors of the staggered Dirac operator in the vicinity of the chiral phase transition of quenched SU(3) lattice gauge theory. We consider both the global features of the spectrum and the local correlations. In the
M. Göckeler +5 more
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Differentiable roots, eigenvalues, and eigenvectors [PDF]
Israel Journal of Mathematics, 2014 We determine the conditions for the existence of $C^p$-roots of curves of monic complex polynomials as well as for the existence of $C^p$-eigenvalues and $C^p$-eigenvectors of curves of normal complex matrices.
Rainer, Armin
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On estimators for eigenvalue/eigenvector approximations [PDF]
Mathematics of Computation, 2008 We consider a large class of residuum based \textit{; ; ; ; ; a posteriori}; ; ; ; ; eigenvalue/eigenvector estimates and present an abstract framework for proving their asymptotic exactness. Equivalence of the estimator and the error is also established.
Luka Grubišić, Jeffrey S. Ovall
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Group Comparison of Eigenvalues and Eigenvectors of Diffusion Tensors. [PDF]
J Am Stat Assoc, 2010 Schwartzman A, Dougherty RF, Taylor JE.
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DTI Brain Template Construction Based on Gaussian Averaging
Chinese Journal of Magnetic Resonance, 2022 The tensor data of subjects are usually averaged linearly over multiple channels to obtain the tensor template. However, linear averaging ignores the vector information in the tensor. Additionally, it will render the interface between the gray matter and
DENG Lan, WANG Yuan-jun
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Applied Sciences, 2023 The calculation of accurate arbitrary-order sensitivities of eigenvalues and eigenvectors is crucial for structural analysis applications, including topology optimization, system identification, finite element model updating, damage detection, and fault ...
Juan C. Velasquez-Gonzalez +5 more
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Eigenvalue Expansion of Nonsymmetric Linear Compact Operators in Hilbert Space
Communications in Advanced Mathematical Sciences, 2021 For a symmetric linear compact resp. symmetric densely defined linear operator with compact inverse, expansion theorems in series of eigenvectors are known.
Ludwig Kohaupt
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