Zero cancellation for general rational matrix functions

DOI10.1016/j.laa.2009.06.039zbMath1177.15008OpenAlexW1988673466MaRDI QIDQ734912

Raluca Andrei, Cristian Oarǎ

Publication date: 14 October 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.039

zbMATH Keywords

algorithmsnumerical examplesmatrix pencilsrational matrix functions\(J\)-inner\(J\)-unitaryfinite and infinite zero cancellation

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

Geometric Methods for Invariant‐Zero Cancellation in Linear Multivariable Systems with Application to Signal Rejection with Preview

Uses Software

• SLICOT
• Algorithm 432

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rang revealing QR factorizations
• Minimal indices cancellation and rank revealing factorizations for rational matrix functions
• The computation of Kronecker's canonical form of a singular pencil
• Rational and polynomial matrix factorizations via recursive pole-zero cancellation
• An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
• Some theorems on the inertia of general matrices
• Factorizations of and extensions to J-unitary rational matrix functions on the unit circle
• An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects
• A simple state-space design of an interactor for a non-square system via system matrix pencil approach
• On a new class of realization formulas and their application
• Zero cancellation
• Pole cancellation
• Chain-scattering approach to \(H^ \infty\) control
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Matrix Analysis
• RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
• Properties of the system matrix of a generalized state-space system†
• A Hessenberg-Schur method for the problem AX + XB= C
• The generalized eigenstructure problem in linear system theory
• Minimal factorization of rational matrix functions
• On the irreducible cascade synthesis of a system with a real rational transfer matrix
• LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
• Minimal Degree Coprime Factorization of Rational Matrices
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$

This page was built for publication: Zero cancellation for general rational matrix functions