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## Volume 34 (2018)

## Articles

Algebraic Methods for the Construction of Algebraic-Difference Equations With Desired Behavior

Lazaros Moysis and Nicholas Karampetakis

Extremal Copositive Matrices with Zero Supports of Cardinality n-2

Roland Hildebrand

New Contributions to Semipositive and Minimally Semipositive Matrices

Projesh Nath Choudhury, Rajesh M. Kannan, and K. C. Sivakumar

Characterizing Graphs Of Maximum Principal Ratio

Michael Tait and Josh Tobin

Range-compatible homomorphisms over the field with two elements

Clément de Seguins Pazzis

Upper Bound for the Number of Distinct Eigenvalues of a Perturbed Matrix

Sunyo Moon and Seungkook Park

Determinantal representations of elliptic curves via Weierstrass elliptic functions

Mao-Ting Chien and Hiroshi Nakazato

Bounds for the Completely Positive Rank of a Symmetric Matrix over a Tropical Semiring

David Dolžan and Polona Oblak

Norm Inequalities Related to Clarkson Inequalities

Fadi Alrimawi, Omar Hirzallah, and Fuad Kittaneh

Block Representation and Spectral Properties of Constant Sum Matrices

Sally L. Hill, Matthew C. Lettington, and Karl Michael Schmidt

On the distance and distance signless Laplacian eigenvalues of graphs and the smallest Gersgorin disc

Fouzul Atik and Pratima Panigrahi

The Hermitian Null-range of a Matrix over a Finite Field

Edoardo Ballico

Iteration with Stepsize Parameter and Condition Numbers for a Nonlinear Matrix Equation

Syed M. Raza Shah Naqvi, Jie Meng, and Hyun-Min Kim

New perturbation bounds in unitarily invariant norms for subunitary polar factors

Lei Zhu, Wei-wei Xu, Hao Liu, and Li-juan Ma

Correlation Matrices with the Perron Frobenius Property

Phelim P. Boyle and Thierno B. N'Diaye

Average Mixing Matrix of Trees

Chris Godsil, Krystal Guo, and John Sinkovic

On the maximal numerical range of some matrices

Ali N. Hamed and Ilya M. Spitkovsky

Semipositivity of linear maps relative to proper cones in finite dimensional real Hilbert spaces

Chandrashekaran Arumugasamy, Sachindranath Jayaraman, and Vatsalkumar N. Mer

Some Graphs Determined By Their Distance Spectrum

Stephen Drury and Huiqiu Lin

Ranks of quantum states with prescribed reduced states

Chi-Kwong Li, Yiu-Tung Poon, and Xuefeng Wang

Inertia sets allowed by matrix patterns

Adam H. Berliner, Dale D. Olesky, and Pauline van den Driessche

Extremal octagonal chains with respect to the spectral radius

Xianya Geng, Shuchao Li, and Wei Wei

Proof of a Conjecture of Graham and Lovasz concerning Unimodality of Coefficients of the Distance Characteristic Polynomial of a Tree

Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Leslie Hogben, Franklin H.J. Kenter, Jephian C.-H. Lin, and Michael Tait

Positive solutions of the system of operator equations $A_1X=C_1,XA_2=C_2, A_3XA^*_3=C_3, A_4XA^*_4=C_4$ in Hilbert $C^*$-modules

Rasoul Eskandari, Xiaochun Fang, Mohammad Sal Moslehian, and Qingxiang Xu

Identifying combinatorially symmetric Hidden Markov Models

Daniel Burgarth

BOUNDS ON THE SUM OF MINIMUM SEMIDEFINITE RANK OF A GRAPH AND ITS COMPLEMENT

Sivaram Narayan and Yousra Sharawi

Bounded linear operators that preserve the weak supermajorization on $\ell^1(I)^+$

Martin Z. Ljubenović and Dragan S. Djordjevic

Spectral Bounds for the Connectivity of Regular Graphs with Given Order

Aida Abiad, Boris Brimkov, Xavier Martinez-Rivera, Suil O, and Jingmei Zhang

Positive and Z-operators on Closed Convex Cones

Michael J. Orlitzky

On the Largest Distance (Signless Laplacian) Eigenvalue of Non-transmission-regular Graphs

Shuting Liu, Jinlong Shu, and Jie Xue

Explicit Block-Structures for Block-Symmetric Fiedler-like pencils

M. I. Bueno, Madeline Martin, Javier Perez, Alexander Song, and Irina Viviano

Convergence of a modified Newton method for a matrix polynomial equation arising in stochastic problem

Sang-hyup Seo Mr., Jong-Hyeon Seo Dr., and Hyun-Min Kim Prof.

Perturbation results and the forward order law for the Moore-Penrose inverse of a product

Nieves Castro-Gonzalez and Robert E. Hartwig

Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control

Christian Mehl, Volker Mehrmann, and Punit Sharma

Asymptotic results on the condition number of FD matrices approximating semi-elliptic PDEs

Paris Vassalos

Two linear preserver problems on graphs

Yanan Hu and Zhenhua Lyu

Ordering cacti with signless Laplacian spread

Zhen Lin and Shu-Guang Guo

On the Condition Number Theory of the Equality Constrained Indefinite Least Squares Problem

Shaoxin Wang, Hanyu Li, and Hu Yang

Determinantal Properties of Generalized Circulant Hadamard Matrices

Marilena Mitrouli and Ondrej Turek

Gershgorin type sets for eigenvalues of matrix polynomials

Christina Michailidou and Panayiotis Psarrakos

Vector Cross Product Differential and Difference Equations in R^3 and in R^7

Patrícia D. Beites, Alejandro P. Nicolás, Paulo Saraiva, and José Vitória

A note on linear preservers of semipositive and minimally semipositive matrices

Projesh Nath Choudhury, Rajesh Kannan, and K. C. Sivakumar

On the Interval Generalized Coupled Matrix Equations

Marzieh Dehghani-Madiseh

Resolution Of Conjectures Related To Lights Out! And Cartesian Products

Bryan A. Curtis, Jonathan Earl, David Livingston, and Bryan L. Shader