**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**348

# Search results for: MDS matrix

##### 348 Solving Linear Matrix Equations by Matrix Decompositions

**Authors:**
Yongxin Yuan,
Kezheng Zuo

**Abstract:**

In this paper, a system of linear matrix equations is considered. A new necessary and sufficient condition for the consistency of the equations is derived by means of the generalized singular-value decomposition, and the explicit representation of the general solution is provided.

**Keywords:**
Matrix equation,
Generalized inverse,
Generalized
singular-value decomposition.

##### 347 Application of Neural Network in Portfolio Product Companies: Integration of Boston Consulting Group Matrix and Ansoff Matrix

**Authors:**
M. Khajezadeh,
M. Saied Fallah Niasar,
S. Ali Asli,
D. Davani Davari,
M. Godarzi,
Y. Asgari

**Abstract:**

This study aims to explore the joint application of both Boston and Ansoff matrices in the operational development of the product. We conduct deep analysis, by utilizing the Artificial Neural Network, to predict the position of the product in the market while the company is interested in increasing its share. The data are gathered from two industries, called hygiene and detergent. In doing so, the effort is being made by investigating the behavior of top player companies and, recommend strategic orientations. In conclusion, this combination analysis is appropriate for operational development; as well, it plays an important role in providing the position of the product in the market for both hygiene and detergent industries. More importantly, it will elaborate on the company’s strategies to increase its market share related to a combination of the Boston Consulting Group (BCG) Matrix and Ansoff Matrix.

**Keywords:**
Artificial neural network,
portfolio analysis,
BCG matrix,
Ansoff matrix.

##### 346 The Partial Non-combinatorially Symmetric N10 -Matrix Completion Problem

**Authors:**
Gu-Fang Mou,
Ting-Zhu Huang

**Abstract:**

An n×n matrix is called an N1 0 -matrix if all principal minors are non-positive and each entry is non-positive. In this paper, we study the partial non-combinatorially symmetric N1 0 -matrix completion problems if the graph of its specified entries is a transitive tournament or a double cycle. In general, these digraphs do not have N1 0 -completion. Therefore, we have given sufficient conditions that guarantee the existence of the N1 0 -completion for these digraphs.

**Keywords:**
Matrix completion,
matrix completion,
N10 -matrix,
non-combinatorially symmetric,
cycle,
digraph.

##### 345 The BGMRES Method for Generalized Sylvester Matrix Equation AXB − X = C and Preconditioning

**Authors:**
Azita Tajaddini,
Ramleh Shamsi

**Abstract:**

**Keywords:**
Linear matrix equation,
Block GMRES,
matrix Krylov
subspace,
polynomial preconditioner.

##### 344 Inverse Matrix in the Theory of Dynamic Systems

**Authors:**
R. Masarova,
M. Juhas,
B. Juhasova,
Z. Sutova

**Abstract:**

**Keywords:**
Dynamic system,
transfer matrix,
inverse matrix,
modeling.

##### 343 Numerical Treatment of Matrix Differential Models Using Matrix Splines

**Authors:**
Kholod M. Abualnaja

**Abstract:**

This paper consider the solution of the matrix differential models using quadratic, cubic, quartic, and quintic splines. Also using the Taylor’s and Picard’s matrix methods, one illustrative example is included.

**Keywords:**
Matrix Splines,
Cubic Splines,
Quartic Splines.

##### 342 Principle Components Updates via Matrix Perturbations

**Authors:**
Aiman Elragig,
Hanan Dreiwi,
Dung Ly,
Idriss Elmabrook

**Abstract:**

**Keywords:**
Online data updates,
covariance matrix,
online
principle component analysis (OPCA),
matrix perturbation.

##### 341 An Algorithm of Ordered Schur Factorization For Real Nonsymmetric Matrix

**Authors:**
Lokendra K. Balyan

**Abstract:**

**Keywords:**
Schur Factorization,
Eigenvalues of nonsymmetric matrix,
Orthoganal matrix.

##### 340 On Positive Definite Solutions of Quaternionic Matrix Equations

**Authors:**
Minghui Wang

**Abstract:**

**Keywords:**
Matrix equation,
Quaternionic matrix,
Real representation,
positive (semi)definite solutions.

##### 339 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.

##### 338 The Relationship of Eigenvalues between Backward MPSD and Jacobi Iterative Matrices

**Authors:**
Zhuan-de Wang,
Hou-biao Li,
Zhong-xi Gao

**Abstract:**

In this paper, the backward MPSD (Modified Preconditioned Simultaneous Displacement) iterative matrix is firstly proposed. The relationship of eigenvalues between the backward MPSD iterative matrix and backward Jacobi iterative matrix for block p-cyclic case is obtained, which improves and refines the results in the corresponding references.

**Keywords:**
Backward MPSD iterative matrix,
Jacobi iterative matrix,
eigenvalue,
p-cyclic matrix.

##### 337 Some Characteristics of Systolic Arrays

**Authors:**
Halil Snopce,
Ilir Spahiu

**Abstract:**

**Keywords:**
Data dependences,
matrix multiplication,
systolicarray,
transformation matrix.

##### 336 Housing Defect of Newly Completed House: An Analysis Using Condition Survey Protocol (CSP) 1 Matrix

**Authors:**
I. Ismail,
A.I. Che-Ani,
N.M. Tawil,
H. Yahaya,
M.Z. Abd-Razak

**Abstract:**

**Keywords:**
terraced houses,
building defects,
construction,
CSP1 Matrix,
Malaysia.

##### 335 Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F

**Authors:**
Fatemeh Panjeh Ali Beik

**Abstract:**

**Keywords:**
Matrix equations,
Iterative methods,
Block Krylovsubspace methods.

##### 334 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.

##### 333 Physio-mechanical Properties of Aluminium Metal Matrix Composites Reinforced with Al2O3 and SiC

**Authors:**
D. Sujan,
Z. Oo,
M. E. Rahman,
M. A. Maleque,
C. K. Tan

**Abstract:**

**Keywords:**
Metal Matrix Composite,
Strength to Weight Ratio,
Wear Rate

##### 332 Production of (V-B) Reinforced Fe Matrix Composites

**Authors:**
Kerim Emre Öksüz,
Mehmet Çevik,
A. Enbiya Bozdağ,
Ali Özer,
Mehmet Simsir

**Abstract:**

Metal matrix composites (MMCs) have gained a considerable interest in the last three decades. Conventional powder metallurgy production route often involves the addition of reinforcing phases into the metal matrix directly, which leads to poor wetting behavior between ceramic phase and metal matrix and the segregation of reinforcements. The commonly used elements for ceramic phase formation in iron based MMCs are Ti, Nb, Mo, W, V and C, B. The aim of the present paper is to investigate the effect of sintering temperature and V-B addition on densification, phase development, microstructure, and hardness of Fe–V-B composites (Fe-(5-10) wt. %B – 25 wt. %V alloys) prepared by powder metallurgy process. Metal powder mixes were pressed uniaxial and sintered at different temperatures (ranging from 1300 to 1400ºC) for 1h. The microstructure of the (V, B) Fe composites was studied with the help of high magnification optical microscope and XRD. Experimental results show that (V, B) Fe composites can be produced by conventional powder metallurgy route.

**Keywords:**
Hardness,
Metal matrix composite (MMC),
Microstructure,
Powder Metallurgy.

##### 331 A Positioning Matrix to Assess and to Develop CSR Strategies

**Authors:**
Armando Calabrese,
Roberta Costa,
Tamara Menichini,
Francesco Rosati

**Abstract:**

**Keywords:**
Corporate Social Responsibility (CSR),
CSR
Positioning Matrix,
Global Reporting Initiative (GRI),
Stakeholder
Orientation

##### 330 A New Analytical Approach for Free Vibration of Membrane from Wave Standpoint

**Authors:**
Mansour Nikkhah-Bahrami,
Masih Loghmani,
Mostafa Pooyanfar

**Abstract:**

**Keywords:**
Rectangular and circular membranes,
propagation
matrix,
reflection matrix,
vibration analysis.

##### 329 Computable Difference Matrix for Synonyms in the Holy Quran

**Authors:**
Mohamed Ali AlShaari,
Khalid M. ElFitori

**Abstract:**

In the field of Quran Studies known as GHAREEB AL QURAN (The study of the meanings of strange words and structures in Holy Quran), it is difficult to distinguish some pragmatic meanings from conceptual meanings. One who wants to study this subject may need to look for a common usage between any two words or more; to understand general meaning, and sometimes may need to look for common differences between them, even if there are synonyms (word sisters).

Some of the distinguished scholars of Arabic linguistics believe that there are no synonym words, they believe in varieties of meaning and multi-context usage. Based on this viewpoint, our method was designedto look for synonyms of a word, then the differences that distinct the word and their synonyms.

There are many available books that use such a method e.g. synonyms books, dictionaries, glossaries, and some books on the interpretations of strange vocabulary of the Holy Quran, but it is difficult to look up words in these written works.

For that reason, we proposed a logical entity, which we called Differences Matrix (DM).

DM groups the synonyms words to extract the relations between them and to know the general meaning, which defines the skeleton of all word synonyms; this meaning is expressed by a word of its sisters.

In Differences Matrix, we used the sisters(words) as titles for rows and columns, and in the obtained cells we tried to define the row title (word) by using column title (her sister), so the relations between sisters appear, the expected result is well defined groups of sisters for each word. We represented the obtained results formally, and used the defined groups as a base for building the ontology of the Holy Quran synonyms.

**Keywords:**
Quran,
synonyms,
Differences Matrix,
ontology

##### 328 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.

##### 327 Micromechanical Modeling of Fiber-Matrix Debonding in Unidirectional Composites

**Authors:**
M. Palizvan,
M. T. Abadi,
M. H. Sadr

**Abstract:**

Due to variations in damage mechanisms in the microscale, the behavior of fiber-reinforced composites is nonlinear and difficult to model. To make use of computational advantages, homogenization method is applied to the micro-scale model in order to minimize the cost at the expense of detail of local microscale phenomena. In this paper, the effective stiffness is calculated using the homogenization of nonlinear behavior of a composite representative volume element (RVE) containing fiber-matrix debonding. The damage modes for the RVE are considered by using cohesive elements and contacts for the cohesive behavior of the interface between fiber and matrix. To predict more realistic responses of composite materials, different random distributions of fibers are proposed besides square and hexagonal arrays. It was shown that in some cases, there is quite different damage behavior in different fiber distributions. A comprehensive comparison has been made between different graphs.

**Keywords:**
Homogenization,
cohesive zone model,
fiber-matrix debonding,
RVE.

##### 326 On the Standardizing the Metal Die of Punchand Matrix by Mechanical Desktop Software

**Authors:**
A. M. R. Mosalman Yazdi,
B. A. R. Mosalman Yazdi

**Abstract:**

**Keywords:**
Die,
Matrix,
Punch,
Standardize.

##### 325 On Generalized New Class of Matrix Polynomial Set

**Authors:**
Ghazi S. Kahmmash

**Abstract:**

New generalization of the new class matrix polynomial set have been obtained. An explicit representation and an expansion of the matrix exponential in a series of these matrix are given for these matrix polynomials.

**Keywords:**
Generating functions,
Recurrences relation and Generalization of the new class matrix polynomial set.

##### 324 An Iterative Method for the Least-squares Symmetric Solution of AXB+CYD=F and its Application

**Authors:**
Minghui Wang

**Abstract:**

Based on the classical algorithm LSQR for solving (unconstrained) LS problem, an iterative method is proposed for the least-squares like-minimum-norm symmetric solution of AXB+CYD=E. As the application of this algorithm, an iterative method for the least-squares like-minimum-norm biymmetric solution of AXB=E is also obtained. Numerical results are reported that show the efficiency of the proposed methods.

**Keywords:**
Matrix equation,
bisymmetric matrix,
least squares problem,
like-minimum norm,
iterative algorithm.

##### 323 Fuzzy Adjacency Matrix in Graphs

**Authors:**
Mahdi Taheri,
Mehrana Niroumand

**Abstract:**

**Keywords:**
Graph,
adjacency matrix,
fuzzy numbers

##### 322 Iterative solutions to the linear matrix equation AXB + CXTD = E

**Authors:**
Yongxin Yuan,
Jiashang Jiang

**Abstract:**

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

##### 321 On the Optimality of Blocked Main Effects Plans

**Authors:**
Rita SahaRay,
Ganesh Dutta

**Abstract:**

**Keywords:**
Design matrix,
Hadamard matrix,
Kronecker product,
type 1 criteria,
type 2 criteria.

##### 320 Wear Behaviors of B4C and SiC Particle Reinforced AZ91 Magnesium Matrix Metal Composites

**Authors:**
M. E. Turan,
H. Zengin,
E. Cevik,
Y. Sun,
Y. Turen,
H. Ahlatci

**Abstract:**

_{4}C and SiC particle reinforcements on wear properties of magnesium matrix metal composites produced by pressure infiltration method were investigated. AZ91 (9%Al-1%Zn) magnesium alloy was used as a matrix. AZ91 magnesium alloy was melted under an argon atmosphere. The melt was infiltrated to the particles with an appropriate pressure. Wear tests, hardness tests were performed respectively. Microstructure characterizations were examined by light optical (LOM) and scanning electron microscope (SEM). The results showed that uniform particle distributions were achieved in both B

_{4}C and SiC reinforced composites. Wear behaviors of magnesium matrix metal composites changed as a function of type of particles. SiC reinforced composite has better wear performance and higher hardness than B

_{4}C reinforced composite.

**Keywords:**
Magnesium matrix composite,
pressure infiltration,
SEM,
wear.

##### 319 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.