Add to ORKGStructure Preserving Transformations in the present definition provide a formal means by which every quadratic system isospectral to a given quadratic system may be determined. This paper presents a parameterisation for these structure preserving transformations which does not require that any of the coefficient matrices is non-singular and which provides a straightforward means to preserve each one of 8 classes of symmetry possible in a quadratic matrix polynomial
Quadratic pencils, # M +#C +K, where M , C, and K are n n real matrices with or without some addi...
AbstractSeries, parallel, and state-space canonical forms associated with the matrix quadratic equat...
Feedback design for a second-order control system leads to an eigenstructure assignment problem for ...
AbstractGiven a pair of distinct eigenvalues (λ1,λ2) of an n×n quadratic matrix polynomial Q(λ) with...
Given a pair of distinct \e s $(\l_1,\l_2)$ of an $\nbyn$ quadratic matrix polynomial $Q(\l)$ with ...
Given a matrix polynomial $A(\lambda)$ of degree $d$ and the associated vector space of pencils $\DL...
Given a pair of distinct eigenvalues (λ1, λ2) of an n×n quadratic matrix polyno-mial Q(λ) with nonsi...
Solving the quadratic eigenvalue problem is critical in several applications in control and systems ...
AbstractLetFbe an algebraically closed field of characteristic not 2, and letX=(Xij) be then×nmatrix...
A square matrix can be reduced to simpler form via similarity transformations. Here ``simpler form''...
A square matrix can be reduced to simpler form via similarity transformations. Here ``simpler form''...
The notion of structure preserving has been put into practice in numerical linear algebra since its ...
In this thesis we focus on algorithms for matrix polynomials and structured matrix problems. We begi...
This paper describes the application of a structure-preserving matrix method to the deconvolution of...
The main purpose of this work is to propose new notions of equivalence between polynomial matrices t...
Quadratic pencils, # M +#C +K, where M , C, and K are n n real matrices with or without some addi...
AbstractSeries, parallel, and state-space canonical forms associated with the matrix quadratic equat...
Feedback design for a second-order control system leads to an eigenstructure assignment problem for ...
AbstractGiven a pair of distinct eigenvalues (λ1,λ2) of an n×n quadratic matrix polynomial Q(λ) with...
Given a pair of distinct \e s $(\l_1,\l_2)$ of an $\nbyn$ quadratic matrix polynomial $Q(\l)$ with ...
Given a matrix polynomial $A(\lambda)$ of degree $d$ and the associated vector space of pencils $\DL...
Given a pair of distinct eigenvalues (λ1, λ2) of an n×n quadratic matrix polyno-mial Q(λ) with nonsi...
Solving the quadratic eigenvalue problem is critical in several applications in control and systems ...
AbstractLetFbe an algebraically closed field of characteristic not 2, and letX=(Xij) be then×nmatrix...
A square matrix can be reduced to simpler form via similarity transformations. Here ``simpler form''...
A square matrix can be reduced to simpler form via similarity transformations. Here ``simpler form''...
The notion of structure preserving has been put into practice in numerical linear algebra since its ...
In this thesis we focus on algorithms for matrix polynomials and structured matrix problems. We begi...
This paper describes the application of a structure-preserving matrix method to the deconvolution of...
The main purpose of this work is to propose new notions of equivalence between polynomial matrices t...
Quadratic pencils, # M +#C +K, where M , C, and K are n n real matrices with or without some addi...
AbstractSeries, parallel, and state-space canonical forms associated with the matrix quadratic equat...
Feedback design for a second-order control system leads to an eigenstructure assignment problem for ...