**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**2553

# Search results for: water matrices

##### 2553 Sign Pattern Matrices that Admit P0 Matrices

**Authors:**
Ling Zhang,
Ting-Zhu Huang

**Abstract:**

A P0-matrix is a real square matrix all of whose principle minors are nonnegative. In this paper, we consider the class of P0-matrix. Our main aim is to determine which sign pattern matrices are admissible for this class of real matrices.

**Keywords:**
Sign pattern matrices,
P0 matrices,
graph,
digraph.

##### 2552 On the Construction of Lightweight Circulant Maximum Distance Separable Matrices

**Authors:**
Qinyi Mei,
Li-Ping Wang

**Abstract:**

**Keywords:**
Linear diffusion layer,
circulant matrix,
lightweight,
MDS matrix.

##### 2551 A Note on Toeplitz Matrices

**Authors:**
Hsuan-Chu Li

**Abstract:**

**Keywords:**
Toeplitz matrices,
LU factorization,
inverse of amatrix.

##### 2550 Oxidation of Selected Pharmaceuticals in Water Matrices by Bromine and Chlorine

**Authors:**
Juan L. Acero,
F. Javier Benitez,
Francisco J. Real,
Gloria Roldan,
Francisco Casas

**Abstract:**

**Keywords:**
Pharmaceuticals,
bromine,
chlorine,
apparent andintrinsic rate constants,
water matrices,
degradation rates

##### 2549 A Comparison Study of the Removal of Selected Pharmaceuticals in Waters by Chemical Oxidation Treatments

**Authors:**
F. Javier Benitez,
Juan Luis Acero,
Francisco J. Real,
Gloria Roldan,
Francisco Casas

**Abstract:**

**Keywords:**
Pharmaceuticals,
UV radiation,
ozone,
advancedoxidation processes,
water matrices,
degradation rates

##### 2548 Determination of Q and R Matrices for Optimal Pitch Aircraft Control

**Authors:**
N. Popovich,
P. Yan

**Abstract:**

**Keywords:**
Aircraft,
control,
digital,
optimal,
Q and R matrices

##### 2547 Bisymmetric, Persymmetric Matrices and Its Applications in Eigen-decomposition of Adjacency and Laplacian Matrices

**Authors:**
Mahdi Nouri

**Abstract:**

**Keywords:**
Graphs theory,
Eigensolution,
adjacency and
Laplacian matrix,
Canonical forms,
bisymmetric,
per symmetric.

##### 2546 Agents Network on a Grid: An Approach with the Set of Circulant Operators

**Authors:**
Babiga Birregah,
Prosper K. Doh,
Kondo H. Adjallah

**Abstract:**

**Keywords:**
Pascal matrices,
Binomial Recursion,
Circulant Operators,
Square Matrix Bipartition,
Local Network,
Parallel networks
of agents.

##### 2545 Algebraic Riccati Matrix Equation for Eigen- Decomposition of Special Structured Matrices; Applications in Structural Mechanics

**Authors:**
Mahdi Nouri

**Abstract:**

In this paper Algebraic Riccati matrix equation is used for Eigen-decomposition of special structured matrices. This is achieved by similarity transformation and then using algebraic riccati matrix equation to triangulation of matrices. The process is decomposition of matrices into small and specially structured submatrices with low dimensions for fast and easy finding of Eigenpairs. Numerical and structural examples included showing the efficiency of present method.

**Keywords:**
Riccati,
matrix equation,
eigenvalue problem,
symmetric,
bisymmetric,
persymmetric,
decomposition,
canonical
forms,
Graphs theory,
adjacency and Laplacian matrices.

##### 2544 On Some Properties of Interval Matrices

**Authors:**
K. Ganesan

**Abstract:**

**Keywords:**
Interval arithmetic,
Interval matrix,
linear equations.

##### 2543 The Long-Term Leaching Behaviour of 137Cs, 60Co and 152Eu Radionuclides Incorporated in Mortar Matrices Made from Natural Aggregates and Recycled Aggregates

**Authors:**
R. Deju,
M. Mincu,
D. Gurau

**Abstract:**

^{137}Cs,

^{60}Co and

^{152}Eu radionuclides, artificially incorporated in mortar matrices made from natural aggregates (river sand) and recycled radioactive concrete was studied. Results presented in this work are obtained in two years of mortar testing and will be used for the safety increasing in the storage of low level radioactive waste. The study involved the influence of curing time, type and size distribution of the aggregates on leaching behaviour. The mortar samples were immersed in distilled water for 30 days. The leached activity of the mortar samples was measured on samples from the immersing water and analyzed through a gamma-ray spectrometry method using an HPGe detector with a GESPECOR code for efficiency evaluation. The long-term leaching behaviour of the radionuclides was evaluated from the leaching data calculating the apparent diffusion coefficient.

**Keywords:**
Leaching behaviour,
recycling of radioactive concrete,
waste management,
gamma-ray spectrometry.

##### 2542 Reconstruction of Binary Matrices Satisfying Neighborhood Constraints by Simulated Annealing

**Authors:**
Divyesh Patel,
Tanuja Srivastava

**Abstract:**

This paper considers the NP-hard problem of reconstructing binary matrices satisfying exactly-1-4-adjacency constraint from its row and column projections. This problem is formulated into a maximization problem. The objective function gives a measure of adjacency constraint for the binary matrices. The maximization problem is solved by the simulated annealing algorithm and experimental results are presented.

**Keywords:**
Discrete Tomography,
exactly-1-4-adjacency,
simulated annealing.

##### 2541 Iterative Solutions to Some Linear Matrix Equations

**Authors:**
Jiashang Jiang,
Hao Liu,
Yongxin Yuan

**Abstract:**

In this paper the gradient based iterative algorithms are presented to solve the following four types linear matrix equations: (a) AXB = F; (b) AXB = F, CXD = G; (c) AXB = F s. t. X = XT ; (d) AXB+CYD = F, where X and Y are unknown matrices, A,B,C,D, F,G are the given constant matrices. It is proved that if the equation considered has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. The numerical results show that the proposed method is reliable and attractive.

**Keywords:**
Matrix equation,
iterative algorithm,
parameter estimation,
minimum norm solution.

##### 2540 Minimization Problems for Generalized Reflexive and Generalized Anti-Reflexive Matrices

**Authors:**
Yongxin Yuan

**Abstract:**

Let R ∈ Cm×m and S ∈ Cn×n be nontrivial unitary involutions, i.e., RH = R = R−1 = ±Im and SH = S = S−1 = ±In. A ∈ Cm×n is said to be a generalized reflexive (anti-reflexive) matrix if RAS = A (RAS = −A). Let ρ be the set of m × n generalized reflexive (anti-reflexive) matrices. Given X ∈ Cn×p, Z ∈ Cm×p, Y ∈ Cm×q and W ∈ Cn×q, we characterize the matrices A in ρ that minimize AX−Z2+Y HA−WH2, and, given an arbitrary A˜ ∈ Cm×n, we find a unique matrix among the minimizers of AX − Z2 + Y HA − WH2 in ρ that minimizes A − A˜. We also obtain sufficient and necessary conditions for existence of A ∈ ρ such that AX = Z, Y HA = WH, and characterize the set of all such matrices A if the conditions are satisfied. These results are applied to solve a class of left and right inverse eigenproblems for generalized reflexive (anti-reflexive) matrices.

**Keywords:**
approximation,
generalized reflexive matrix,
generalized
anti-reflexive matrix,
inverse eigenvalue problem.

##### 2539 Some New Subclasses of Nonsingular H-matrices

**Authors:**
Guangbin Wang,
Liangliang Li,
Fuping Tan

**Abstract:**

In this paper, we obtain some new subclasses of non¬singular H-matrices by using a diagonally dominant matrix

**Keywords:**
H-matrix,
diagonal dominance,
a diagonally dominant matrix.

##### 2538 Effect of Steel Fibers on Flexural Behavior of Normal and High Strength Concrete

**Authors:**
K. M. Aldossari,
W. A. Elsaigh,
M. J. Shannag

**Abstract:**

An experimental study was conducted to investigate the effect of hooked-end steel fibers on the flexural behavior of normal and high strength concrete matrices. The fibers content appropriate for the concrete matrices investigated was also determined based on flexural tests on standard prisms. Parameters investigated include: matrix compressive strength ranging from 45 MPa to 70 MPa, corresponding to normal and high strength concrete matrices respectively; fibers volume fraction including 0, 0.5%, 0.76% and 1%, equivalent to 0, 40, 60, and 80 kg/m^{3} of hooked-end steel fibers respectively. Test results indicated that flexural strength and toughness of normal and high strength concrete matrices were significantly improved with the increase in the fibers content added; whereas a slight improvement in compressive strength was observed for the same matrices. Furthermore, the test results indicated that the effect of increasing the fibers content was more pronounced on increasing the flexural strength of high strength concrete than that of normal concrete.

**Keywords:**
Concrete,
flexural strength,
toughness,
steel fibers.

##### 2537 Atmosphere Water Vapour As Main Sweet Water Resource in the Arid Zones of Central Asia

**Authors:**
S.I.Nikolaeva,
Yu.V. Petrov,
L.Ye.Skipnikova

**Abstract:**

It has been shown that the solution of water shortage problem in Central Asia closely connected with inclusion of atmosphere water vapour into the system of response and water resources management. Some methods of water extraction from atmosphere have been discussed.

**Keywords:**
potable water,
water resources,
water problems,
water scarcity.

##### 2536 The Projection Methods for Computing the Pseudospectra of Large Scale Matrices

**Authors:**
Zhengsheng Wang,
Xiangyong Ji,
Yong Du

**Abstract:**

**Keywords:**
Pseudospectra,
eigenvalue,
projection method,
Arnoldi,
IOM(q)

##### 2535 The Inverse Eigenvalue Problem via Orthogonal Matrices

**Authors:**
A. M. Nazari,
B. Sepehrian,
M. Jabari

**Abstract:**

In this paper we study the inverse eigenvalue problem for symmetric special matrices and introduce sufficient conditions for obtaining nonnegative matrices. We get the HROU algorithm from [1] and introduce some extension of this algorithm. If we have some eigenvectors and associated eigenvalues of a matrix, then by this extension we can find the symmetric matrix that its eigenvalue and eigenvectors are given. At last we study the special cases and get some remarkable results.

**Keywords:**
Householder matrix,
nonnegative matrix,
Inverse eigenvalue problem.

##### 2534 Removal of Phenylurea Herbicides from Waters by using Chemical Oxidation Treatments

**Authors:**
F. Javier Benitez,
Carolina Garcia,
Juan Luis Acero,
Francisco J. Real

**Abstract:**

Four phenylurea herbicides (isoproturon, chlortoluron, diuron and linuron) were dissolved in different water matrices in order to study their chemical degradation by using UV radiation, ozone and some advanced oxidation processes (UV/H2O2, O3/H2O2, Fenton reagent and the photo- Fenton system). The waters used were: ultra-pure water, a commercial mineral water, a groundwater and a surface water taken from a reservoir. Elimination levels were established for each herbicide and for several global quality parameters, and a kinetic study was performed in order to determine basic kinetic parameters of each reaction between the target phenylureas and these oxidizing systems.

**Keywords:**
Phenylurea herbicides,
UV radiation; Ozone,
Fenton reagent,
Hydroxyl radicals,
Rate constants,
Quantum yields

##### 2533 The Direct Updating of Damping and Gyroscopic Matrices using Incomplete Complex Test Data

**Authors:**
Jiashang Jiang,
Yongxin Yuan

**Abstract:**

In this paper we develop an efficient numerical method for the finite-element model updating of damped gyroscopic systems based on incomplete complex modal measured data. It is assumed that the analytical mass and stiffness matrices are correct and only the damping and gyroscopic matrices need to be updated. By solving a constrained optimization problem, the optimal corrected symmetric damping matrix and skew-symmetric gyroscopic matrix complied with the required eigenvalue equation are found under a weighted Frobenius norm sense.

**Keywords:**
Model updating,
damped gyroscopic system,
partially prescribed spectral information.

##### 2532 Algorithm for Reconstructing 3D-Binary Matrix with Periodicity Constraints from Two Projections

**Authors:**
V. Masilamani,
Kamala Krithivasan

**Abstract:**

We study the problem of reconstructing a three dimensional binary matrices whose interiors are only accessible through few projections. Such question is prominently motivated by the demand in material science for developing tool for reconstruction of crystalline structures from their images obtained by high-resolution transmission electron microscopy. Various approaches have been suggested to reconstruct 3D-object (crystalline structure) by reconstructing slice of the 3D-object. To handle the ill-posedness of the problem, a priori information such as convexity, connectivity and periodicity are used to limit the number of possible solutions. Formally, 3Dobject (crystalline structure) having a priory information is modeled by a class of 3D-binary matrices satisfying a priori information. We consider 3D-binary matrices with periodicity constraints, and we propose a polynomial time algorithm to reconstruct 3D-binary matrices with periodicity constraints from two orthogonal projections.

**Keywords:**
3D-Binary Matrix Reconstruction,
Computed Tomography,
Discrete Tomography,
Integral Max Flow Problem.

##### 2531 Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices

**Authors:**
Jing Li,
Guang Zhou

**Abstract:**

Let A and B be nonnegative matrices. A new upper bound on the spectral radius ρ(A◦B) is obtained. Meanwhile, a new lower bound on the smallest eigenvalue q(AB) for the Fan product, and a new lower bound on the minimum eigenvalue q(B ◦A−1) for the Hadamard product of B and A−1 of two nonsingular M-matrices A and B are given. Some results of comparison are also given in theory. To illustrate our results, numerical examples are considered.

**Keywords:**
Hadamard product,
Fan product; nonnegative matrix,
M-matrix,
Spectral radius,
Minimum eigenvalue,
1-path cover.

##### 2530 Stability of a Special Class of Switched Positive Systems

**Authors:**
Xiuyong Ding,
Lan Shu,
Xiu Liu

**Abstract:**

This paper is concerned with the existence of a linear copositive Lyapunov function(LCLF) for a special class of switched positive linear systems(SPLSs) composed of continuousand discrete-time subsystems. Firstly, by using system matrices, we construct a special kind of matrices in appropriate manner. Secondly, our results reveal that the Hurwitz stability of these matrices is equivalent to the existence of a common LCLF for arbitrary finite sets composed of continuous- and discrete-time positive linear timeinvariant( LTI) systems. Finally, a simple example is provided to illustrate the implication of our results.

**Keywords:**
Linear co-positive Lyapunov functions,
positive systems,
switched systems.

##### 2529 A Study of Water Consumption in Two Malaysian Resorts

**Authors:**
Fu E. Tang

**Abstract:**

**Keywords:**
water consumption patterns,
water conservation
practices,
water audit,
water audit framework.

##### 2528 On General Stability for Switched Positive Linear Systems with Bounded Time-varying Delays

**Authors:**
Xiu Liu,
Shouming Zhong,
Xiuyong Ding

**Abstract:**

This paper focuses on the problem of a common linear copositive Lyapunov function(CLCLF) existence for discrete-time switched positive linear systems(SPLSs) with bounded time-varying delays. In particular, applying system matrices, a special class of matrices are constructed in an appropriate manner. Our results reveal that the existence of a common copositive Lyapunov function can be related to the Schur stability of such matrices. A simple example is provided to illustrate the implication of our results.

**Keywords:**
Common linear co-positive Lyapunov functions,
positive systems,
switched systems,
delays.

##### 2527 Linear Maps That Preserve Left Spectrum of Diagonal Quaternionic Matrices

**Authors:**
Geng Yuan,
Yiwan Guo,
Fahui Zhai,
Shuhua Zhang

**Abstract:**

**Keywords:**
Quaternionic matrix,
left spectrum,
linear preserver
map.

##### 2526 Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices

**Authors:**
Khosrow Maleknejad,
Yaser Rostami

**Abstract:**

In this paper, Semi-orthogonal B-spline scaling functions and wavelets and their dual functions are presented to approximate the solutions of integro-differential equations.The B-spline scaling functions and wavelets, their properties and the operational matrices of derivative for this function are presented to reduce the solution of integro-differential equations to the solution of algebraic equations. Here we compute B-spline scaling functions of degree 4 and their dual, then we will show that by using them we have better approximation results for the solution of integro-differential equations in comparison with less degrees of scaling functions

**Keywords:**
Integro-differential equations,
Quartic B-spline
wavelet,
Operational matrices.

##### 2525 Buckling of Plates on Foundation with Different Types of Sides Support

**Authors:**
Ali N. Suri,
Ahmad A. Al-Makhlufi

**Abstract:**

In this paper the problem of buckling of plates on foundation of finite length and with different side support is studied.

The Finite Strip Method is used as tool for the analysis. This method uses finite strip elastic, foundation, and geometric matrices to build the assembly matrices for the whole structure, then after introducing boundary conditions at supports, the resulting reduced matrices is transformed into a standard Eigenvalue-Eigenvector problem. The solution of this problem will enable the determination of the buckling load, the associated buckling modes and the buckling wave length.

To carry out the buckling analysis starting from the elastic, foundation, and geometric stiffness matrices for each strip a computer program FORTRAN list is developed.

Since stiffness matrices are function of wave length of buckling, the computer program used an iteration procedure to find the critical buckling stress for each value of foundation modulus and for each boundary condition.

The results showed the use of elastic medium to support plates subject to axial load increase a great deal the buckling load, the results found are very close with those obtained by other analytical methods and experimental work.

The results also showed that foundation compensates the effect of the weakness of some types of constraint of side support and maximum benefit found for plate with one side simply supported the other free.

**Keywords:**
Buckling,
Finite Strip,
Different Sides Support,
Plates on Foundation.

##### 2524 The Orlicz Space of the Entire Sequence Fuzzy Numbers Defined by Infinite Matrices

**Authors:**
N.Subramanian,
C.Murugesan

**Abstract:**

This paper is devoted to the study of the general properties of Orlicz space of entire sequence of fuzzy numbers by using infinite matrices.

**Keywords:**
Fuzzy numbers,
infinite matrix,
Orlicz space,
entiresequence.