Results 141 to 150 of about 691 (188)

Logarithmic Norms for Matrix Pencils

SIAM Journal on Matrix Analysis and Applications, 1999
Summary: The author extends the usual concepts of least upper bound norm and logarithmic norm of a matrix to matrix pencils. Properties of these seminorms and logarithmic norms are derived. This logarithmic norm can be used to study the growth of the solutions to linear variable coefficient differential-algebraic systems.
Higueras, Inmaculada, García-Celayeta, Berta   +1 more
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Rank One Perturbations of Matrix Pencils

SIAM Journal on Matrix Analysis and Applications, 2020
Using some of their earlier results (see for example [the first author, Linear Algebra Appl. 438, No. 8, 3155--3173 (2013; Zbl 1269.15029)]), the authors completely resolve the open problem of describing all possible Kronecker invariants of an arbitrary matrix pencil under rank one perturbations.
Dodig, Marija, Stošić, Marko
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Balancing Regular Matrix Pencils

SIAM Journal on Matrix Analysis and Applications, 2006
We present a new diagonal balancing technique for regular matrix pencils $\lambda B-A$, which aims at reducing the sensitivity of the corresponding generalized eigenvalues. It is inspired by the balancing technique of a square matrix A and has a comparable complexity.
Damien Lemonnier, Paul Van Dooren
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A QR Decomposition for Matrix Pencils

BIT Numerical Mathematics, 2000
An efficient and numerically stable modification of the \(QR\) decomposition for solving a linear least squares problem with a matrix of the form \(A+\lambda B\) is given. The idea is to proceed by columns and in step \(i\) the algorithm is driven by data from column \(i\) of the transformed matrices \(B\) and \(A\) in turn.
Spellucci, P., Hartmann, W. M.
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2010
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Combinatorial Analysis of Singular Matrix Pencils

SIAM Journal on Matrix Analysis and Applications, 2007
The structural approach to the analysis of singular matrix pencils is much more complicated than in the regular case because of nontrivial minimal row/column indices corresponding to the rectangular block in the canonical form. However, the main result of the paper under review provides a combinatorial characterization of the sums of the minimal row ...
Iwata, Satoru, Shimizu, Ryo
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Recursive matrix pencil method

2017 2nd International Ural Conference on Measurements (UralCon), 2017
The main concern for many applications (for example, for Coriolis Mass Flow Meter signal processing in two-phase flow conditions) is to track several domain poles of signals with minimum delay. The Matrix Pencil method (MPM) estimates the signal as a sum of complex exponentials.
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Evaluating products of matrix pencils and collapsing matrix products

Numerical Linear Algebra with Applications, 2001
AbstractThis paper describes three numerical methods to collapse a formal product ofppairs of matrices$$P=\mathop{\prod}\limits_{k=0}^{p-1} E_{k}^{-1}A_{k}$$down to the product of a single pairÊ−1Â. In the setting of linear relations, the product formally extends to the case in which some of theEk's are singular and it is impossible to explicitly form ...
Benner, Peter, Byers, Ralph
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