In this paper Layer-built Kronecker Product Expansive Method of Matrix, in Which Rows Are Orthogonal Each Other and fast algorithm of expanded matrix are presented. Using this expansive method, Orthogonal Complete Systems in L2-space are built up.
By using kronecker product of matrix theory,basic link space code chips are recombined and a new kind of LS code is obtained. It is proven mathematically that these new codes have a uniform IFW for both aperiodic auto-correlation and cross-correlation function within one group.
In this paper we first discuss the properties of Kronecker product of complex metapositive definite matrices; and then generalize the Schur theorem, the Hua Luogeng theorem and tile Minkowski ineguality of real symmetric matrices.
Using Kronecker product relations, apparently new expressions for stresses conjugate to the Finger strain B, the Euler strain ?, the Eulerian (right) stretch tensor V, and log(V) are determined.
Kronecker product algebra is extended to third and fourth order tensors.
In the following, Kronecker product algebra is reviewed and there are given several extensions, and applications of the extensions are presented in continuum mechanics, computational mechanics and dynamics.
However, as shown in the current article, with some extensions Kronecker product algebra can be used to derive compact expressions for such quantities.
In broad terms the goal of the current investigation is to extend Kronecker product algebra so that it can be broadly applied to CCM.