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Publications Influence

Computing the Zeros of Quaternion Polynomials

- R. Serôdio, E. Pereira, Jos'e Vit'oria
- Mathematics
- 1 October 2001

Abstract A method is developed to compute the zeros of a quaternion polynomial with all terms of the form q k X k . This method is based essentially in Niven's algorithm [1], which consists of… Expand

48 2- PDF

On solvents of matrix polynomials

- E. Pereira
- Mathematics
- 1 November 2003

First, the basic theory of matrix polynomials and the construction of solvents are reviewed in terms of the concept of eigenpair. Then a study of the number of solvents is done. Conditions for the… Expand

23 1

A fixed point method to compute solvents of matrix polynomials

- F. Marcos, E. Pereira
- Mathematics
- 2010

Matrix polynomials play an important role in the theory of matrix differential equations. We develop a fixed point method to compute solutions of matrix polynomials equations, where the matricial… Expand

3 1- PDF

Deflation for block eigenvalues of block partitioned matrices with an application to matrix polynomials of commuting matrices

- E. Pereira, J. Vitória
- Mathematics
- 1 October 2001

Abstract A method for computing a complete set of block eigenvalues for a block partitioned matrix using a generalized form of Wielandt's deflation is presented. An application of this process is… Expand

12- PDF

The cyclic rank completion problem with general blocks

- N. Cohen, E. Pereira
- 2 January 2021

We present an upper bound for the minimal completion rank of a partial matrix P whose block pattern is a single cycle of size with specified blocks . Under certain conditions, the bound becomes quite… Expand

Matrix polynomials: Factorization via bisolvents

- N. Cohen, E. Pereira
- Mathematics
- 1 October 2017

Abstract We reconsider the classification of all the factorizations of a matrix polynomial P as P = Q R with Q a matrix polynomial and R ( λ ) = λ T − S a regular matrix pencil. It is shown that the… Expand

Stability of Matrix Differential Equations with Commuting Matrix Constant Coefficients

- Fernando Martins, E. Pereira, M. A. F. Vicente, Jos'e Vit'oria
- Mathematics
- 2014

Sufficient conditions for the asymptotic stability of systems of first order linear differential equations with commuting matrix constant coefficients is studied. Stability criterion in terms of… Expand

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The cyclic rank completion problem with regular blocks

- N. Cohen, E. Pereira
- Mathematics
- 4 May 2018

Abstract A tight upper bound is obtained for the minimal completion rank of a partial block matrix P whose block pattern is a single bipartite cycle of order 2k and with specified blocks of order n… Expand

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