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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
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
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
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
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
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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