2019-12-10T08:16:04Z
http://wala.vru.ac.ir/?_action=export&rf=summon&issue=5557
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
*-Operator Frame for End_{mathcal{A}}^{ast}(mathcal{H})
Rossafi
Mohamed
Kabbaj
Samir
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.
$ast$-frame
operator frame
$ast$-operator frame
$C^{ast}$-algebra
Hilbert $mathcal{A}$-modules
2019
01
12
1
13
http://wala.vru.ac.ir/article_34904_640d1329f38755912e93031f21a9b8f6.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
On the Remarkable Formula for Spectral Distance of Block Southeast Submatrix
Alimohammad
Nazari
Atiyeh
Nezami
This paper presents a remarkable formula for spectral distance of a given block normal matrix $G_{D_0} = begin{pmatrix}<br /> A & B \ <br /> C & D_0<br /> 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 $A in mathbb{C}^{ntimes n}$ is invertible, $ B in mathbb{C}^{ntimes m}, C in mathbb{C}^{mtimes n}$ and $D in mathbb{C}^{mtimes m}$ with $rm {Rank{G_D}} < n+m-1$<br /> and given eigenvalues of matrix $mathcal{M} = D - C A^{-1} B $ as $z_1, z_2, cdots, z_{m}$ where $|z_1|ge |z_2|ge cdots ge |z_{m-1}|ge |z_m|$. <br /> Finally, an explicit formula is proven for spectral distance $G_D$ and $G_D_0$ which is expressed by the two last eigenvalues of $mathcal{M}$.
Eigenvalues
Normal matrix
Distance norm
2019
01
12
15
20
http://wala.vru.ac.ir/article_34905_78e346b85c8a946b0f3cfa66d8b73fb8.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings
Ali
Ebrahimi Meymand
Abstract. In this paper, we define the notion of C*-affine maps in the<br /> unital *-rings and we investigate the C*-extreme points of the graph<br /> and epigraph of such maps. We show that for a C*-convex map f on a<br /> unital *-ring R satisfying the positive square root axiom with an additional<br /> condition, the graph of f is a C*-face of the epigraph of f. Moreover,<br /> we prove some results about the C*-faces of C*-convex sets in *-rings.<br /> Keywords: C*-affine map, C*-convexity, C*-extreme point, C*-face.<br /> MSC(2010): Primary: 52A01; Secondary: 16W10, 46L89.
C*-affine map
C*-convexity
C*-extreme point
C*-face
2019
01
12
21
28
http://wala.vru.ac.ir/article_34906_0487fcfe738449107469d61b9fb0a584.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation
Malihe
Sheybani
Azita
Tajaddini
Mohammad Ali
Yaghoobi
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.
Generalized coupled Sylvester equation
NSCG method
inner and outer iteration
2019
01
12
29
45
http://wala.vru.ac.ir/article_34907_bfd916a717266b2a7855f332a24eff29.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
Characterizing Global Minimizers of the Difference of Two Positive Valued Affine Increasing and Co-radiant Functions
Mohammad
Askarizadeh Khanaman
Hossein
Mohebi
Many optimization problems can be reduced to a<br /> 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.
Abstract convexity
co-radiant function
increasing function
affine increasing and co-radiant function
global minimum
2019
01
12
47
58
http://wala.vru.ac.ir/article_34903_c461f903214f87d479115e65193a5909.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2018
5
2
On Some Special Classes of Sonnenschein Matrices
Masod
Aminizadeh
Gholamreza
Talebi
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 <br /> [{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l}<br /> n\<br /> v<br /> end{array} right){{left( {1 - alpha - beta } right)}^v}{alpha ^{n - v}}left( begin{array}{l}<br /> n + k - v - 1\<br /> ,,,,,,,,,,k - v<br /> end{array} right)<br /> {beta ^{k - v}}},] and calculate their row and column sums and give some applications of these sums.
Sonnenschein matrix
Binomial coefficients identity
Sequence space
2019
01
12
59
64
http://wala.vru.ac.ir/article_32993_0679a9e70167da2fbf8f99f730b4536f.pdf