A standard way of dealing with a regular matrix polynomial P(¸) is to convert it into an equivalent matrix pencil { a process known as linearization. Two vector spaces of pencils L1(P) and L2(P) that generalize the ¯rst and second companion forms have recently been introduced by Mackey, Mackey, Mehl and Mehrmann. Almost all of these pencils are linearizations for P(¸) when P is regular. The goal of this work is to show that most of the pencils in L1(P) and L2(P) are still linearizations when P(¸) is a singular square matrix polynomial, and that these linearizations can be used to obtain the complete eigenstructure of P(¸), comprised not only of the ¯nite and in¯nite eigenvalues, but also for singular polynomials of the left and right minima...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
Abstract. The classical approach to investigating polynomial eigenvalue problems is linearization, w...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the ...
A standard way of dealing with a regular matrix polynomial P(¸) is to convert it into an equivalent ...
Abstract. A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an ...
Abstract. A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an ...
A standard way of dealing with a matrix polynomial $P(\lambda)$ is to convert it into an equivalen...
A standard way of dealing with a matrix polynomial $P(\lambda)$ is to convert it into an equivalen...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the p...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the p...
Abstract. A standard way of treating the polynomial eigenvalue problem P(λ)x = 0 is to convert it in...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the ...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
Abstract. The classical approach to investigating polynomial eigenvalue problems is linearization, w...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the ...
A standard way of dealing with a regular matrix polynomial P(¸) is to convert it into an equivalent ...
Abstract. A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an ...
Abstract. A standard way of dealing with a regular matrix polynomial P (λ) is to convert it into an ...
A standard way of dealing with a matrix polynomial $P(\lambda)$ is to convert it into an equivalen...
A standard way of dealing with a matrix polynomial $P(\lambda)$ is to convert it into an equivalen...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the p...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the p...
Abstract. A standard way of treating the polynomial eigenvalue problem P(λ)x = 0 is to convert it in...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the ...
Abstract. A standard way of treating the polynomial eigenvalue problem P (λ)x = 0 is to convert it i...
Abstract. The classical approach to investigating polynomial eigenvalue problems is linearization, w...
The classical approach to investigating polynomial eigenvalue problems is linearization, where the ...