Home > ELA > Vol. 22 (2011)

## ELA Volume 22 (2011)

## Articles

A restriction on the Schur multiplier of nilpotent Lie algebras

Peyman Niroomand and Francesco G. Russo

Minimum semidefinite rank of outerplanar graphs and the tree cover number

Francesco Barioli, Shaun M. Fallat, Lon H. Mitchell, and Sivaram K. Narayan

Tracial numerical ranges and linear dependence of operators

Bojan Kuzma, Chi-Kwong Li, and Leiba Rodman

Smith forms of palindromic matrix polynomials

D. Steven Mackey, Niloufer Mackey, Christian Mehl, and Volker Mehrmann

Reverse order law for the Moore-Penrose inverse in C*-algebras

Dijana Mosic and Dragan S. Djordjevic

Graphs determined by their (signless) Laplacian spectra

Muhuo Liu, Bolian Liu, and Fuyi Wei

Conditions for a totally positive completion in the case of a symmetrically placed cycle

Charles R. Johnson and Brenda K. Kroschel

The signless Laplacian separator of graphs

Zhifu You and Bolian Liu

Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in Hilbert spaces

Sever S. Dragomir

A Diaz-Metcalf type inequality for positive linear maps and its applications

Mohammad Sal Moslehian, Ritsuo Nakamoto, and Yuki Seo

New lower solution bounds for the continuous algebraic Riccati equation

Juan Zhang and Jianzhou Liu

On a Schur complement inequality for the Hadamard product of certain totally nonnegative matrices

Zhongpeng Yang and Xiaoxia Feng

Multiplicative diagonals of matrix semigroups

L. Livshits, G. Macdonald, and H. Radjavi

The p-Laplacian spectral radius of weighted trees with a degree sequence and a weight set

Guang-Jun Zhang and Xiao-Dong Zhang

Computing codimensions and generic canonical forms for generalized matrix products

Bo Kagstrom, Lars Karlsson, and Daniel Kressner

The algebraic Riccati equation with Toeplitz matrices as coefficients

Albrecht Boettcher

Even and odd tournament matrices with minimum rank over finite fields

Elizabeth Doering, T. S. Michael, and Bryan L. Shader

The inverse eigenvalue and inertia problems for minimum rank two graphs

Wayne Barrett, Seth Gibelyou, Mark Kempton, Nicole Malloy, Curtis Nelson, William Sexton, and John Sinkovic

The numerical range of linear operators on the 2-dimensional Krein space

Hiroshi Nakazato, Natalia Bebiano, and Joao da Providencia

The equation XA+AX*=0 and the dimension of *congruence orbits

Fernando de Teran and Froilan M. Dopico

Loewner matrix ordering in estimation of the smallest singular value

J. M. Pena and T. Szulc

The minimum-norm least-squares solution of a linear system and symmetric rank-one updates

Xuzhou Chen and Jun Ji

On the group inverse of linear combinations of two group invertible matrices

Xiaoji Liu, Lingling Wu, and Julio Benitez

Sur une classe de formes biquadratiques semi-definies positives

Mohamed El Kadiri

The optimal perturbation bounds for the weighted Moore-Penrose inverse

Wei-Wei Xu, Li-Xia Cai, and Wen Li

An extension of the perturbation analysis for the Drazin inverse

N. Castro-Gonzalez, M. F. Martinez-Serrano, and J. Robles

On nonnegative realization of partitioned spectra

Ricardo L. Soto, Oscar Rojo, and Cristina B. Manzaneda

Structured QR algorithms for Hamiltonian symmetric matrices

A. Salam and D. S. Watkins

On the Estrada index of graphs with given number of cut edges

Zhibin Du and Bo Zhou

Pairs of matrices, one of which commutes with their commutator

Gerald Bourgeois

New families of integer matrices whose leading principal minors form some well-known sequences

Ali Reza Moghaddamfar, Kambiz Moghaddamfar, and Hadiseh Tajbakhsh

A note on the reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products

Xifu Liu and Hu Yang

Some new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

Yaotang Li, Xin Liu, Xiaoying Yang, and Chaoqian Li

Path product and inverse M-matrices

Yan Zhu, Cheng-Yi Zhang, and Jun Liu

Spectra of weighted rooted graphs having prescribed subgraphs at some levels

Oscar Rojo, Maria Robbiano, Domingos M. Cardoso, and Enide A. Martins

Formal adjoints of linear DAE operators and their role in optimal control

Peter Kunkel and Volker Mehrmann

Invariance properties of an operator product involving generalized inverses

Zhiping Xiong and Yingying Qin

Inverse interval matrix: A survey

Jiri Rohn and Raena Farhadsefat

New representations for the Moore-Penrose inverse

Hongxing Wang and Musheng Wei

Symmetric inverse generalized eigenvalue problem with submatrix constraints in structural dynamic model updating

Meixiang Zhao, Zhigang Jia, and Musheng Wei

Additivity of maps on generalized matrix algebras

Yanbo Li and Zhankui Xiao

On cardinality of Pareto spectra

Alberto Seeger and Jose Vicente-Perez

Extreme spectra realization by real symmetric tridiagonal and real symmetric arrow matrices

Hubert Pickmann, Juan C. Egana, and Ricardo L. Soto

The A-like matrices for a hypercube

Stefko Miklavic and Paul Terwilliger

The power equation

Moshe Goldberg and Eliahu Levy

Spectral characterization of †-shape trees

Fenjin Liu, Qiongxiang Huang, and Qinghai Liu

The minimum algebraic connectivity of caterpillar unicyclic graphs

Wai Chee Shiu, Ji-Ming Guo, and Jianxi Li

Consistency and efficient solution of the Sylvester equation for *-congruence

Fernando de Teran and Froilan M. Dopico

Group reconstruction systems

Patricia Mariela Morillas

Weighted EP elements in C*-algebras

Dijana Mosic and Dragan S. Djordjevic

Structure of nilpotent matrices over fields

Natalie Campbell, Kevin N. Vander Meulen, and Adam Van Tuyl

Norm preservers of Jordan products

Bojan Kuzma, Gorazd Lesnjak, Chi-Kwong Li, Tatjana Petek, and Leiba Rodman

Neutral subspaces of pairs of symmetric/skewsymmetric real matrices

Leiba Rodman and Peter Semrl

Derivatives of the diameter and the area of a connected component of the pseudospectrum

Gorka Armentia, Juan-Miguel Gracia, and Francisco E. Velasco

Fast low rank approximations of matrices and tensors

S. Friedland, V. Mehrmann, A. Miedlar, and M. Nkengla

Some additive results for the generalized Drazin inverse in a Banach algebra

Dragana S. Cvetkovic-Ilic, Xiaoji Liu, and Yimin Wei

Block normal matrices and Gershgorin-type discs

Jakub Kierzkowski and Alicja Smoktunowicz

Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert C*-modules

Guang Jing Song and Qing Wen Wang

The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products

Zhiping Xiong and Bing Zheng

Exponents and diameters of strong products of digraphs

Byeong Moon Kim, Byung Chul Song, and Woonjae Hwang

Geometric structure of single/combined equivalence classes of a controllable pair

Albert Compta, Josep Ferrer, and Marta Pena

The Moore-Penrose inverse of a linear combination of commuting generalized and hypergeneralized projectors

Marina Tosic, Dragana S. Cvetkovic-Ilic, and Chunyuan Deng

The solvability conditions of matrix equations with k-involution

Mao-Lin Liang and Li-Fang Dai

Inertially arbitrary tree sign patterns of order 4

Yubin Gao and Yanling Shao

The restricted weighted generalized inverse of a matrix

Vasilios N. Katsikis and Dimitrios Pappas

Generalizations of Brauer’s localization theorem

Chaoqian Li and Yaotang Li

A lower bound for the second largest Laplacian eigenvalue of weighted graphs

Abraham Berman and Miriam Farber