Showing Results for
- Academic Journals (188)
Search Results
- 188
Academic Journals
- 188
-
From:Canadian Journal of Physics (Vol. 86, Issue 3) Peer-ReviewedAbstract: The simple Bethe Ansatz is illustrated step by step in great detail for a variety of many-body quantum problems and lattice models. The focus is on a constructive presentation in which the problems of...
-
From:Electronic Transactions on Numerical Analysis (Vol. 33) Peer-ReviewedIn this paper, we consider a class of hierarchically rank structured matrices that includes some of the hierarchical matrices occurring in the literature, such as hierarchically semiseparable (HSS) and certain...
-
From:Advances in High Energy Physics (Vol. 2018) Peer-ReviewedWe solve the D-dimensional Schrodinger equation with hyperbolic Poschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate, we used...
-
From:Electronic Transactions on Numerical Analysis (Vol. 44) Peer-ReviewedSince we can evaluate the characteristic polynomial of an N x N order one quasiseparable Hermitian matrix A in less than 10N arithmetical operations by sharpening results and techniques from Eidelman, Gohberg, and...
-
From:Canadian Journal of Physics (Vol. 89, Issue 11) Peer-ReviewedIn this paper, the radius of convergence of the spheroidal power series associated with the eigenvalue is calculated without using the branch point approach. Studying the properties of the power series using the...
-
From:Electronic Transactions on Numerical Analysis (Vol. 46) Peer-ReviewedIn this paper we present a new algorithm for solving the symmetric tridiagonal eigenvalue problem that works by first using a Cayley transformation to convert the symmetric matrix into a unitary one and then uses...
-
From:Journal of Applied and Engineering Mathematics (Vol. 10, Issue 2) Peer-ReviewedLet G = (V, E) be a graph and [P.sub.k] = {[V.sub.1],[V.sub.2],...,[V.sub.k]} be a partition of V. The k-partition energy of a graph G with respect to partition [P.sub.k] is denoted by [mathematical expression not...
-
From:Advances in Mathematical PhysicsPeer-ReviewedFor a class of multiparameter statistical models based on [N.sup.2] x [N.sup.2] braid matrices, the eigenvalues of the transfer matrix [T.sup.(r)] are obtained explicitly for all (r,N). Our formalism yields them as...
-
From:Scientia Magna (Vol. 9, Issue 1) Peer-ReviewedIn this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms. Keywords...
-
From:Mathematical Problems in Engineering (Vol. 2021) Peer-ReviewedLet G be a graph with vertex set V(G)={v[sub.1],?,v[sub.n]}, and let d[sub.i] be the degree of v[sub.i]. The Zagreb matrix of G is the square matrix of order n whose (i,j)-entry is equal to d[sub.i]+d[sub.j] if the...
-
From:ACM Transactions on Mathematical Software (Vol. 25, Issue 1) Peer-ReviewedThe author and colleagues have produced a collection of 60 test problems which offer a realistic performance test of the currently available automatic codes for eigenvalues of the classical Sturm-Liouville problem. We...
-
From:Journal of Advanced Mathematical Studies (Vol. 2, Issue 1) Peer-ReviewedWe give in this paper a method for numerical computation of an orthogonal basis in the Sobolev space [H.sup.1.sub.0](D), where D is a quarter of a circle, using the method of bi-orthogonal sequences due to Bergmann and...
-
From:Computational and Mathematical Methods in Medicine (Vol. 2014) Peer-ReviewedLensometers and keratometers yield powers along perpendicular meridians even if the principal meridians of the lens and the cornea are oblique. From each such instrument, multiple raw data represented on optical crosses...
-
From:Journal of SensorsPeer-ReviewedBecause of the rapid advancement of the airborne sensors and spaceborne sensors, large volumes of fully polarimetric synthetic aperture radar (PolSAR) data are available, but they are too complex to interpret...
-
From:Tamsui Oxford Journal of Information and Mathematical Sciences (Vol. 31, Issue 2) Peer-Reviewed
Topics On The Distribution Eigenvalues Of Non-Selfadjoint Elliptic Systems Of Differential Operators
In this paper, we first consider a non - selfadjoint differen-tial operator on Hilbert space Hl = [L.sup.2] [(0, 1).sup.l] with Dirichlet-type boundary conditions in form [mathematical expression not reproducible]... -
From:ACM Transactions on Mathematical Software (Vol. 26, Issue 4) Peer-ReviewedIn this paper we explain some of the changes that have been incorporated in the latest version of the LAPACK subroutine for reducing a symmetric banded matrix to tridiagonal form. These modifications improve the...
-
From:Advances in High Energy Physics (Vol. 2018) Peer-ReviewedIn this work, we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The eigenvalues have to be...
-
From:Foundations of Computational Mathematics (Vol. 18, Issue 6) Peer-ReviewedIn this paper we are concerned with two topics: the formulation and analysis of the eigenvalue problem for the [Formula omitted] operator in a multiply connected domain and its numerical approximation by means of finite...
-
From:Electronic Transactions on Numerical Analysis (Vol. 43) Peer-ReviewedIn this paper we give a necessary and sufficient condition for a set of complex values [[theta].sub.1], ..., [[theta].sub.k] to be the Arnoldi Ritz values at iteration k for a general diagonalizable matrix A. Then we...
-
From:Nature (Vol. 499, Issue 7457) Peer-ReviewedThe ability to confine light is important both scientifically and technologically. Many light confinement methods exist, but they all achieve confinement with materials or systems that forbid outgoing waves. These...