Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices

Stability of infinite matrices has important applications to spline approximation, wavelets, Gabor time-frequency analysis, etc. In this paper, perturbation analysis for convolution dominated infinite matrices was studied by introducing an idea of lp-stability at infinity. For infinite matrices in the Gohberg-Baskakov-Sjostrand class, a practical criterion for the lp-stability at infinity of convolution dominated infinite matrices on Zd under perturbation of compact operators was given.     

Complete quantum circuit of Haar wavelet based MRA

Wavelet analysis has applications in many areas, such as signal analysis and image processing. We propose a method for generating the complete circuit of Haar wavelet based MRA by factoring butterfly matrices and conditional perfect shuffle permutation matrices. The factorization of butterfly matrices is the essential part of the design. As a result, it is the key point to obtain the circuits of I2t＋W ＋I2^n-2t-2· In this paper, we use a simple means to develop quantum circuits for this kind of matrices. Similarly, the conditional permutation matrix is implemented entirely, combined with the scheme of Fijany and Williams. The circuits and the ideas adopted in the design are simple and intelligible.     

Norm inequalities for positive semidefinite matrices

This paper aims to discuss some inequalities involving unitarily invariant norms and positive semidefinite matrices. By using properties of unitarily invariant norms, we obtain two inequities involving unitarily invariant norms and positive semidefinite matrices, which generalize the result obtained by Bhatia and Kittaneh.     

Singular Values of Sums of Positive Semidefinite Matrices

For positive real numbers a, b,■. In this note, we generalize this fact to matrices by proving that for positive semidefinite matrices A and B of order n, for any ■, where s_j(X) denotes the j-th largest singular value of X and ■.This result sharpens some known result. Meanwhile, some related results are established.     

A New Relationship Between Partial Orders of Normal Matrices and Their Squares

A new relationship between partial orders of normal matrices and their squares is estabhshed.     

Effect of Starch Sources on the Release Rates of Herbicides Encapsulated

The effects of starch sources on the behaviors of starch matrices and on the rates of herbicides released from the matrices were studied for slow release. The starches considered include native corn starch, wheat starch, potato starch and cassava starch. The matrices were prepared through encapsulating 2,4-dichlorophenoxyacetic or 2,4,5 trichlorophenoxyacetic acids as model herbicides with hot-gelatinized starch pastes. The encapsulation was evaluated in terms of herbicide content, swellability, encapsulation efficiency, and release rate. The results show that starch sources play an important role on the matrix behaviors and on release rates. The rate of 2,4-D released follows the order： wheat starch 〈 potaot starch 〈 corn starch 〈 cassava starch. And for the rate of 2,4,5-T, this order is nearly the same only with an exception that the late two kinds of starch are similar. It is also demonstrated that herbicides with different water solubility show different release rates, no matter what type of starch is used as the matrices.     

IRREDUCIBLE REPRESENTATION OF QUANTUM SLq（3）ALGEBRA

The explicit forms of the irreducible representation matrices for the quantum Sl_q(3)enveloping algebra are computed in datial     

Some rank equalities about combinations of two idempotent matrices

The paper researches the rank of combinations a PA+bAQ-cPAQ of two idempotent matrices P and Q.Using the properties of the idempotent matrix and elementary block matrix operation,we get some rank equalities for combinations a PA+bAQ-cPAQ of two idempotent matrices P and Q.These rank equalities generalize the results of Koliha J J,Rakoevi V and Tian Y,and give some applications of the rank equalities.     

A cumulant-based parameter estimation algorithm for near-field sources

To efficiently use the array aperture and avoid the complicated parameter pairing computation,this paper proposes a new cumulant-based algorithm for localizing near-field narrowband sources.Firstly,this algorithm proposes a symmetric uniform linear ar- ray (ULA),and constructs three cumulant matrices by using the fourth-order cumulants of some properly chosen sensor outputs;second- ly,unlike the conventional parallel factor (PARAFAC) analysis models in data or subspace domain,it forms a three-way array (TWA) in the fourth-order cumulant domain using the three matrices,and analyzes the uniqueness of its low-rank decomposition;thirdly,it jointly estimates the frequency,the direction-of-arrival (DOA),and the range of each near-field source from the matrices via the low-rank de- composition of the TWA.The simulation results are presented to validate the performance of our proposed method.     

VECTOR BOND GRAPH REPRESENTATION OF FINITE ELEMENT METHOD IN STRUCTURAL DYNAMICS

In this paper we have shown that the invariance of energy(kinetic energy,potential energy)and virtual work is the common feature of vector bond graph and finite element method in struc-tural dynamics.Then we have discussed the vector bond graph representation of finite elementmethod in detail,there are:(1)the transformation of reference systems,(2)the transformation ofinertia matrices,stiffness matrices and vectors of joint force,(3)verctor bond graph representationof Lagrangian dynamic equation of structure.     

Gradient Search Non-Orthogonal Approximate Joint Diagonalization Algorithm

The problem of approximate joint diagonalization of a set of matrices is instrumental in numerous statistical signal processing applications. This paper describes a relative gradient non-orthogonal approximate joint diagonalization （AJD） algorithm based on a non-least squares AJD criterion and a special AJD using a non-square diagonalizing matrix and an AJD method for ill-conditioned matrices. Simulation results demonstrate the better performance of the relative gradient AJD algorithm compared with the conventional least squares （LS） criteria based gradient-type AJD algorithms. The algorithm is attractive for practical applications since it is simple and efficient.     

Nonsingularity of the combinations of two orthogonal projectors

The invertibility of combinations of two orthogonal projectors is researched by using the CS-decomposition of matrices and properties of orthogonal projectors. The Moore-Penrose inverse of the combinations is presented under some special conditions.     

广义TOR方法的Ostrowski-Reich定理

This paper defines a generalized TOR iterative method and genera-lizes the Ostrowski-Reieh theorem to the GTOR method.And a set of theequivalent conditions of the convergence of GTOR method is given for theHermitian matrices.     

Robust Predictive Control of Uncertain Systems with Time-delay Using Tight Sets of Predicted States

A robust model predictive control （MPC） algorithm for discrete time linear systems with time-delay （RPC.TDS） subjected to constrained input control is presented, where the polytopic uncertainties exist in state matrices and input matrices. In the algorithm the standard optimization of quadratic objective function has been transformed into optimization of sum of N ＋ 1 upper bounds of the quadratic objective function with respect to N control moves and a state feedback control law, where N is the control horizon. The feasibility of the optimization problem guarantees that the algorithm is robustly stable. The simulation results verify the effectiveness of the proposed algorithm.     

PHYSICAL SUBALGEBRA CHAINS IN A SEMISIMPLE LIE ALGEBRA

Using the defining matrices of A_1 in classical algebras A_n, B_n, C_n and D_n, deduce the embedding indices of the physical A_1 algebra in classical algebras, The Ginocchio so (8) model is as an example.     

The multiple interactions between growth factors and microenvironment in vivo

The extracellular matrices (ECMs), which form the supportive meshwork around the cells, are largely composed of proteins and polysaccharide secreted by cells, while, growth factors, which almost all exist in ECMs, are polypeptides synthesized and secreted…     

Rate-embedded differential space-time-frequency coding scheme

In multiple-input-multiple-output orthogonal-frequency-division-multiplexing （MIMO-OFDM） system, a rate-embedded differential space-time-frequency （DSTF） coding scheme was proposed. Both the conventional space-time codes and coding techniques in frequency domain were employed to build high rate and low rate space-time-frequency message matrices. Then both types of message matrices were differentially transmitted alternately in the frequency domain. Consequently, the total transmission rate could be improved greatly. At receiver, a simple decision feedback differential detector （SDF-DD） was adopted to further enhance the total error performance with approximate DD complexity. Simulation results verified that the proposed scheme can implement high rate and high reliability differential transmission. Compared with the conventional DSTF coding schemes, the proposed scheme achieves higher spectral efficiency and much better error performance.     

Personalized Service System Based on Hybrid Filtering for Digital Library

Personalized service systems are an effective way to help users obtain recommendations for unseen items, within the enormous volume of information available based on their preferences. The most commonly used personalized service system methods are collaborative filtering, content-based filtering, and hybrid filtering. Unfortunately, each method has its drawbacks. This paper proposes a new method which unified partition-based collaborative filtering and meta-information filtering. In partition-based collaborative filtering the user-item rating matrix can be partitioned into low-dimensional dense matrices using a matrix clustering algorithm. Recommendations are generated based on these low-dimensional matrices. Additionally, the very low ratings problem can be solved using meta-information filtering. The unified method is applied to a digital resource management system. The experimental results show the high efficiency and good performance of the new approach.     

The α-dual Differential Geometry of Symmetric Nonsingular Matrices

The manifold S ( n ) is explored. The set of all symmetric nonsingular matrices on which a Riemannian metric is defined and dual α -connections are introduced. Furthermore, the α -dual geometric structure is obtained. Finally, an example is given to illustrate our results.