Home > ELA > Vol. 20 (2010)

## ELA Volume 20 (2010)

## Articles

Spaces of constant rank matrices over GF(2)

Nigel Boston

New estimates for the solution of the Lyapunov matrix differential equation

Juan Zhang and Jianzhou Liu

Permanents of Hessenberg (0,1)-matrices revisited

Brent Deschamp and Bryan L. Shader

Inertia sets for graphs on six or fewer vertices

Wayne Barrett, Camille Jepsen, Robert Lang, Emily McHenry, Curtis Nelson, and Kayla Owens

Thompson isometries on positive operators: The 2-dimensional case

Lajos Molnar and Gergo Nagy

Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices

Roger A. Horn and Fuzhen Zhang

Reachability matrices and cyclic matrices

Augusto Ferrante and Harald K. Wimmer

Kantorovich type inequalities for ordered linear spaces

Marek Niezgoda

Ranges of Sylvester maps and a minimal rank problem

Andre and C.M. Ran and Leiba X. Rodman

Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars

Oscar Rojo, Luis Medina, Nair M.M. de Abreu, and Claudia Justel

On symmetric matrices with exactly one positive eigenvalue

Shu-Qian Shen and Ting-Zhu Huang

Distance spectral radius of trees with fixed maximum degree

Dragan Stevanovic and Aleksandar Ilic

Spectrally arbitrary tree sign patterns of order 4

Marina Arav, Frank Hall, Zhongshan Li, Krishna Kaphle, and Nilay Manzagol

A method for the inverse numerical range problem

Christos Chorianopoulos, Panayiotis Psarrakos, and Frank Uhlig

A new decomposition for square matrices

Julio Benitez

Some characterizations of totally nonpositive (totally negative) matrices

Rafael Canto, Beatriz Ricarte, and Ana Maria Urbano

Some results on matrix partial orderings and reverse order law

Julio Benitez, Xiaoji Liu, and Jin Zhong

Starlike trees with maximum degree 4 are determined by their signless Laplacian spectra

Gholam R. Omidi and Ebrahim Vatandoost

Inequalities for the minimum eigenvalue of M-matrices

Gui-Xian Tian and Ting-Zhu Huang

Perturbations of functions of diagonalizable matrices

Michael I. Gil

A new upper bound for the eigenvalues of the continuous algebraic Riccati equation

Jianzhou Liu, Juan Zhang, and Yu Liu

Semidefinite geometry of the numerical range

Didier Henrion

A necessary and sufficient eigenvector condition for a connected graph to be bipartite

Sebastian M. Cioaba

The q-numerical range of 3 by 3 tridiagonal matrices

Mao-Ting Chien and Hiroshi Nakazato

On the spectral radii of quasi-tree graphs and quasi-unicyclic graphs with k pendent vertices

Xianya Geng and Shuchao Li

The explicit representations of the Drazin inverses of a class of block matrices

Changjiang Bu and Kuize Zhang

Constructing matrix geometric means

Federico G. Poloni

The linear independence of sets of two and three canonical algebraic curvature tensors

Alexander Diaz and Corey Dunn

Refined inertially and spectrally arbitrary zero-nonzero patterns

Louis Deaett, Dale D. Olesky, and Pauline van den Driessche

Weighted matrix eigenvalue bounds on the independence number of a graph

Randall J. Elzinga and David A. Gregory

Leonard pairs from the equitable basis of sl2

Hasan Alnajjar and Brian Curtin

Polynomial inequalities for non-commuting operators

John E. McCarthy and Richard M. Timoney

Efficient computation of enclosures for the exact solvents of a quadratic matrix equation

Behnam Hashemi and Mehdi Dehghan

Least squares (P,Q)-orthogonal symmetric solutions of the matrix equation and its optimal approximation

Lin-lin Zhao, Guo-linag Chen, and Qing-bin Liu

Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

Qing-Wen Wang and Jiang Jing

On the Strong Arnol'd Hypothesis and the connectivity of graphs

Hein van der Holst

The spectrum of the edge corona of two graphs

Yaoping Hou and Wai-Chee Shiu

Nonnegative realization of complex spectra

Ricardo L. Soto, Mario Salas, and Cristina Manzaneda

The sun graph is determined by its signless Laplacian spectrum

Maryam Mirzakhah and Dariush Kiani

The eigenvalue distribution of block diagonally dominant matrices and block H-matrices

Cheng-Yi Zhang, Shuanghua Luo, Aiqun Huang, and Chengxian Xu

On the gaps in the set of exponents of boolean primitive circulant matrices

Maribel I. Bueno and Susana Furtado

On the minimum vector rank of multigraphs

Lon H. Mitchell, Sivaram K. Narayan, and Ian Rogers

Matrix functions preserving sets of generalized nonnegative matrices

Abed Elhashash and Daniel B. Szyld

The minimum rank problem over finite fields

Jason Grout

An improved characterisation of the interior of the completely positive cone

Peter J.C. Dickinson

Euclidean and circum-Euclidean distance matrices: Characterizations and linear preservers

Chi-Kwong Li, Thomas Milligan, and Michael W. Trosset

Jordan left derivations in full and upper triangular matrix rings

Xiao-Wei Xu and Hong-Ying Zhang