@article {
author = {Mohamed, Rossafi and Samir, Kabbaj},
title = {*-Operator Frame for End_{\mathcal{A}}^{\ast}(\mathcal{H})},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {1-13},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.79871.1153},
abstract = {In this paper, a new notion of frames is introduced: $\ast$-operator frame as generalization of $\ast$-frames in Hilbert $C^{\ast}$-modules introduced by A. Alijani and M. A. Dehghan \cite{Ali} and we establish some results.},
keywords = {$ast$-frame,operator frame,$ast$-operator frame,$C^{ast}$-algebra,Hilbert $mathcal{A}$-modules},
url = {http://wala.vru.ac.ir/article_34904.html},
eprint = {http://wala.vru.ac.ir/article_34904_640d1329f38755912e93031f21a9b8f6.pdf}
}
@article {
author = {Nazari, Alimohammad and Nezami, Atiyeh},
title = {On the Remarkable Formula for Spectral Distance of Block Southeast Submatrix},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {15-20},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.87428.1174},
abstract = {This paper presents a remarkable formula for spectral distance of a given block normal matrix $G_{D_0} = \begin{pmatrix} A & B \\ C & D_0 \end{pmatrix} $ to set of block normal matrix $G_{D}$ (as same as $G_{D_0}$ except block $D$ which is replaced by block $D_0$), in which $A \in \mathbb{C}^{n\times n}$ is invertible, $ B \in \mathbb{C}^{n\times m}, C \in \mathbb{C}^{m\times n}$ and $D \in \mathbb{C}^{m\times m}$ with $\rm {Rank\{G_D\}} < n+m-1$ and given eigenvalues of matrix $\mathcal{M} = D - C A^{-1} B $ as $z_1, z_2, \cdots, z_{m}$ where $|z_1|\ge |z_2|\ge \cdots \ge |z_{m-1}|\ge |z_m|$. Finally, an explicit formula is proven for spectral distance $G_D$ and $G_D_0$ which is expressed by the two last eigenvalues of $\mathcal{M}$.},
keywords = {Eigenvalues,Normal matrix,Distance norm},
url = {http://wala.vru.ac.ir/article_34905.html},
eprint = {http://wala.vru.ac.ir/article_34905_78e346b85c8a946b0f3cfa66d8b73fb8.pdf}
}
@article {
author = {Ebrahimi Meymand, Ali},
title = {C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {21-28},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.90202.1184},
abstract = {Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove some results about the C*-faces of C*-convex sets in *-rings. Keywords: C*-affine map, C*-convexity, C*-extreme point, C*-face. MSC(2010): Primary: 52A01; Secondary: 16W10, 46L89.},
keywords = {C*-affine map,C*-convexity,C*-extreme point,C*-face},
url = {http://wala.vru.ac.ir/article_34906.html},
eprint = {http://wala.vru.ac.ir/article_34906_0487fcfe738449107469d61b9fb0a584.pdf}
}
@article {
author = {Sheybani, Malihe and Tajaddini, Azita and Yaghoobi, Mohammad Ali},
title = {A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {29-45},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2019.93411.1197},
abstract = {Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each outer iteration is induced by a convergence and symmetric positive definite splitting of the coefficient matrices. Convergence properties of this method are investigated. Finally, the effectiveness of the nested splitting conjugate gradient method is explained by some numerical examples.},
keywords = {Generalized coupled Sylvester equation,NSCG method,inner and outer iteration},
url = {http://wala.vru.ac.ir/article_34907.html},
eprint = {http://wala.vru.ac.ir/article_34907_bfd916a717266b2a7855f332a24eff29.pdf}
}
@article {
author = {Askarizadeh Khanaman, Mohammad and Mohebi, Hossein},
title = {Characterizing Global Minimizers of the Difference of Two Positive Valued Affine Increasing and Co-radiant Functions},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {47-58},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2019.94381.1198},
abstract = {Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued affine increasing and co-radiant (ICR) functions are discussed. Moreover, the basic properties of this class of functions such as support set, subdifferential and maximal elements of support set are characterized. Finally, as an application, necessary and sufficient conditions for the global minimum of the difference of two strictly positive valued affine ICR functions are presented.},
keywords = {Abstract convexity,co-radiant function,increasing function,affine increasing and co-radiant function,global minimum},
url = {http://wala.vru.ac.ir/article_34903.html},
eprint = {http://wala.vru.ac.ir/article_34903_c461f903214f87d479115e65193a5909.pdf}
}
@article {
author = {Aminizadeh, Masod and Talebi, Gholamreza},
title = {On Some Special Classes of Sonnenschein Matrices},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {2},
pages = {59-64},
year = {2019},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.92609.1193},
abstract = {In this paper we consider the special classes of Sonnenschein matrices, namely the Karamata matrices $K[\alpha,\beta]=\left(a_{n,k}\right)$ with the entries \[{a_{n,k}} = \sum\limits_{v = 0}^k {\left( \begin{array}{l} n\\ v \end{array} \right){{\left( {1 - \alpha - \beta } \right)}^v}{\alpha ^{n - v}}\left( \begin{array}{l} n + k - v - 1\\ \,\,\,\,\,\,\,\,\,\,k - v \end{array} \right) {\beta ^{k - v}}},\] and calculate their row and column sums and give some applications of these sums.},
keywords = {Sonnenschein matrix,Binomial coefficients identity,Sequence space},
url = {http://wala.vru.ac.ir/article_32993.html},
eprint = {http://wala.vru.ac.ir/article_32993_0679a9e70167da2fbf8f99f730b4536f.pdf}
}