Results 121 to 130 of about 9,508 (163)

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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Arithmetic for rectangular matrix pencils

Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404), 2003
This paper is a generalization of the authors' (1998) previous study from square, regular n-by-n pencils to singular and rectangular m-by-n pencils. We define arithmetic-like operations on matrix pencils that are a natural extension of sums, products and quotients of real numbers.
P. Benner, R. Byers
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Generalized Fiedler Pencils for Rational Matrix Functions

SIAM Journal on Matrix Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alam, Rafikul, Behera, Namita
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Multiple sequence matrix pencil analysis

IEEE Antennas and Propagation Society International Symposium 1997. Digest, 2002
The matrix pencil is a well known technique used to fit data as a sum of complex exponentials. The technique estimates the poles of the system, then solves a least squares problem for the amplitudes of the poles. This paper details an extension of the matrix pencil technique to match poles simultaneously to several data sequences which should have the ...
null Sheeyun Park, T.K. Sarkar
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