We investigate the computational complexity of some basic problems regarding non-unique probe selection using separable matrices. In particular, we prove that the Minimal d̄-Separable Matrix problem is DP -complete, and the d̄-Separable Submatrix with Reserved Rows problem, which is a generalization of the decision version of the Minimum d̄-Separable Submatrix problem, is Σ2 -complete.

Soft Matrix theory is a newly emerging mathematical tool to deal with uncertain problems. In this paper, we define IFSM and different types of IFSM with example. Finally we extend our approach in application of these matrices in (Agriculture) decision making problems.

In this paper, we introduce the concept of generalised inverse (ginverse) for intuitionistic fuzzy matrices (IFMs). We define minus partial ordering and studied several properties of it. Here we have shown that the minus partial ordering is a partial ordering for IFMs.

O R IG IN A L A R T IC L E Alexandre Rodrigues Guerzoni Érika Cristina Pavarino-Bertelli Moacir Fernandes de Godoy

We will establish lower bounds in terms of the level for the number of holomorphic cusp forms of weight k > 2 whose various L-functions do not vanish at the central critical point. This work generalizes the work of W. Duke [1] which was for the case of weight 2.

We analyze a modified version of the Nesterov accelerated gradient algorithm, which applies to affine fixed point problems with non-self-adjoint matrices, such as ones appearing in theory Markov decision processes discounted or mean payoff criteria. characterize spectra matrices for this algorithm does converge an asymptotic rate. also introduce $d$th-order and show that it yields multiply rate...

in this paper we consider the group algebra $r(c_2times‎ ‎d_infty)$‎. ‎it is shown that $r(c_2times d_infty)$ can be‎ ‎represented by a $4times 4$ block circulant matrix‎. ‎it is also‎ ‎shown that $mathcal{u}(mathbb{z}_2(c_2times d_infty))$ is‎ ‎infinitely generated‎.

let $cr_{n}(f)$ denote the algebra of $n times n$ circulant matrices over the field $f$. in this paper, we study the unit group of $cr_{n}(f_{p^m})$, where $f_{p^m}$ denotes the galois field of order $p^{m}$, $p$ prime.