*Correspondence: [email protected] 1School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, China Full list of author information is available at the end of the article Abstract Some convergence conditions on successive over-relaxed (SOR) iterative method and symmetric SOR (SSOR) iterative method are proposed for non-Hermitian positive definite linear systems. Some examples are ...

A numerical study is presented to investigate the electronic transport properties through a synthetic DNA molecule based on a quasiperiodic arrangement of its constituent nucleotides. Using a generalized Green's function technique, the electronic conduction through the poly(GACT)-poly(CTGA) DNA molecule in a metal/DNA/metal model structure has been studied. Making use of a renormalization schem...

We present an algorithm for solving a linear system in a symmetric M-matrix. In particular, for n × n symmetric M-matrix M , we show how to find a diagonal matrix D such that DMD is diagonallydominant. To compute D, the algorithm must solve O (log n) linear systems in diagonally-dominant matrices. If we solve these diagonallydominant systems approximately using the Spielman-Teng nearly-linear t...

1. Matrices, Vectors and their Basic Operations 1.1. Matrices 1.2. Vectors 1.3. Addition and Scalar Multiplication of Matrices 1.4. Multiplication of Matrices 2. Determinants 2.1. Square Matrices 2.2. Determinants 2.3. Cofactors and the Inverse Matrix 3. Systems of Linear Equations 3.1. Linear Equations 3.2. Cramer’s Rule 3.3. Eigenvalues of a Complex Square Matrix 3.4. Jordan Canonical Form 4....

It is shown in this paper that nonlinear symmetric Boolean functions have no linear structures other than the all-zero and the all-one vectors. For such functions with n variables, it is shown that when n is odd, every such symmetric Boolean function is either a function with the all-one vector as an invariant linear structure or can be written as the product of two symmetric functions of which...

the main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group g whose socle is psl(3,q). we indeed show that the only possible design satisfying these conditions is a desarguesian projective plane pg(2,q) and g > psl(3,q).