منابع مشابه
Spectrum through pseudospectrum
This report was written in 2001 and it is a translation of work that was originally published in Greek, in the author’s diploma thesis in July 1998. It may contain minor mistakes and should not be considered a complete study. It however touches upon several of the considerations that will be included in the complete paper. The work was done jointly with E. Gallopoulos and was presented at the F...
متن کاملEigenvalues, Pseudospectrum and Structured Perturbations
We investigate the behavior of eigenvalues under structured perturbations. We show that for many common structures such as (complex) symmetric, Toeplitz, symmetric Toeplitz, circulant and others the structured condition number is equal to the unstructured condition number for normwise perturbations, and prove similar results for real perturbations. An exception are complex skewsymmetric matrice...
متن کاملAcoustic Pseudospectrum Based Fault Localization Inmotorcycles
Vehicles generate dissimilar sound patterns under different health conditions. The sound generated by the vehicles gives a clue of some of the faults. Automotive experts diagnose the faults in vehicles based on the produced sound. This paper presents a methodology for fault source localization in motorcycles using the estimated pseudospectra of the sound signals. The pseudospectra are traced to...
متن کاملReflection Coefficient Estimation by Pseudospectrum Matching
This paper presents a novel model-based method for in-situ estimation of sound reflection coefficients in acoustic enclosures. The method uses a modeling engine for simulation of acoustic propagation and generation of the spatial pseudospectrum using a beamforming technique. The simulated pseudospectrum is matched with the measured pseudospectrum acquired by a real beamforming microphone array ...
متن کاملProperties and Preservers of the Pseudospectrum
Dedicated to Professor Hans Schneider. Abstract The interplay between the algebraic and analytic properties of a matrix and the geometric properties of its pseudospectrum is investigated. It is shown that one can characterize Hermitian matrices, positive semi-definite matrices, orthogonal projections, unitary matrices, etc. in terms of the pseudospectrum. Also, characterizations are given to ma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.2680