Page 9 - Textos de Matemática Vol. 39

CONTENTS
Graciano de Oliveira
Eduardo Marques de Sa´ 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 Canto´ 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 3 × 3 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 Sˇmigoc
Structured matrices in the nonnegative inverse eigenvalue problem 93
Russell Merris
Observations concerning split graphs 107
Joa˜o Filipe Queir´o
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