Computing the numerical radius
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TLDR
A simple algorithm is presented for computing the numerical radius of a complex matrix based on the power method for finding the maximum modulus eigenvalue of a Hermitian matrix.About:
This article is published in Linear Algebra and its Applications.The article was published on 1996-02-01 and is currently open access. It has received 27 citations till now. The article focuses on the topics: Spectral radius & Matrix function.read more
Citations
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An interferometric coherence optimization method in radar polarimetry for high-resolution imagery
TL;DR: This paper investigates to what extent a new interferometric coherence optimization in radar polarimetry allows the separation of point scatterers located in the same resolution cell according to their interferomet phases.
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Multibaseline Polarimetric SAR Interferometry Coherence Optimization
TL;DR: This letter analyzes different approaches for polarimetric optimization of multibaseline (MB) interferometric coherences and concludes that MB coherence optimization does improve the accuracy in the estimation of dominant SMs and the associatedinterferometric phases.
Remote sensing of vegetation using multi-baseline polarimetric SAR interferometry (theoretical modeling and physical parameter retrieval)
TL;DR: In this article, a phenomenological polarimetric interferometric model for vegetation parameter retrieval is proposed for volumetric media over ground and evaluated on simulated and real airborne L-band SAR data in both single and multi-baseline configurations.
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Phase Quality Optimization in Polarimetric Differential SAR Interferometry
Ruben Iglesias,Dani Monells,Xavier Fabregas,Jordi J. Mallorqui,Albert Aguasca,Carlos Lopez-Martinez +5 more
TL;DR: DInSAR processing using polarimetric optimization techniques in the pixel selection process is compared with the classical single-polarimetric approach, achieving a threefold increase of the number of pixel candidates in the coherence case and up to a factor of seven in the amplitude dispersion case.
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An Algorithm for Computing the Distance to Instability
C. He,G. A. Watson +1 more
TL;DR: An algorithm is developed for computing the distance to instability of an n × n matrix and gives both a lower bound and an upper bound for the distance in guaranteed accuracy.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Book
Practical Methods of Optimization
TL;DR: The aim of this book is to provide a Discussion of Constrained Optimization and its Applications to Linear Programming and Other Optimization Problems.
Book
Topics in Matrix Analysis
TL;DR: The field of values as discussed by the authors is a generalization of the field of value of matrices and functions, and it includes singular value inequalities, matrix equations and Kronecker products, and Hadamard products.
Journal ArticleDOI
Large-Scale Optimization of Eigenvalues
TL;DR: A continuously differentiable symmetric matrix function of real parameters is constructed that obeys the inequality of the following type: For α ≥ 1, β ≥ 1 using LaSalle's inequality.