2019-12-10T08:16:04Z http://wala.vru.ac.ir/?_action=export&rf=summon&issue=5557
2019-01-12 10.22072
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
2019-01-12 10.22072
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
2019-01-12 10.22072
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
2019-01-12 10.22072
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
2019-01-12 10.22072
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
2019-01-12 10.22072
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