The paper solves the eigenvalues of a symmetric matrix by using three novel algorithms developed in m-dimensional affine Krylov subspace. n-dimensional eigenvector is superposed constant shifting vector and an m-vector. In first algorithm, m-vector derived as function eigenvalue maximizing Rayleigh quotient to generate characteristic equation, which, however, not easy determine since its roots ...

Let G be a simple undirected graph on n vertices, and let I(G) ⊆ R = k[x1, . . . , xn] denote its associated edge ideal. We show that all chordal graphs G are sequentially Cohen-Macaulay; our proof depends upon showing that the Alexander dual of I(G) is componentwise linear. Our result complements Faridi’s theorem that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay and impl...

Every locally complete inductive limit of sequentially complete locally convex spaces , which satisfies Retakh's condition (M) is regular, sequentially complete and sequentially retractive. A quasiconverse for this theorem and a criterion for sequential retractivity of inductive limits of webbed spaces are given.

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...

in this paper we introduce some new double sequence spaces using the orlicz function andexamine some properties of the resulting sequence spaces.