Mathematical papers in honour of Eduardo Marques de Sá

(Olga Azenhas, António Leal Duarte, João Filipe Queiró, Ana Paula Santana - editors)
Departamento de Matemática - Universidade de Coimbra, 2006
ISBN: 972-8564-43-0


 Preface

Graciano de Oliveira
Eduardo Marques de Sá and the interlacing inequalities

1
Olga Azenhas
Schur functions, pairing of parentheses, jeu de taquin and invariant factors

7
Richard A. Brualdi and Geir Dahl
The Bruhat shadow of a permutation matrix

25
Rafael Cantó and Charles R. Johnson
The relationship between maximum triangle size and minimum rank for zero-nonzero patterns

39
Carlos M. da Fonseca
The inertia of Hermitian matrices with a prescribed 3x3 block decomposition: an open problem

49
Shmuel Friedland and Daniel Levy
A polynomial-time approximation algorithm for the number of k-matchings in bipartite graphs

61
Juan-Miguel Gracia
Nearest matrix to a normal matrix with two prescribed eigenvalues

69
Charles R. Johnson and YuLin Zhang
Spectrally arbitrary factorization: the nonderogatory case

79
Thomas Laffey and Helena Smigoc
Structured matrices in the nonnegative inverse eigenvalue problem

93
Russell Merris
Observations concerning split graphs


107
João Filipe Queiró
Partial spectra of sums of Hermitian matrices

115
Alicia Roca and Fernando C. Silva
Matrix pencils with a prescribed subpencil

125
Ana Paula Santana and Helena Albuquerque
Simple quasiassociative algebras

135
Ion Zaballa
On the stability of invariant subspaces of square matrices

147