**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**947

# Search results for: Minimum eigenvalue

##### 947 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.

##### 946 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.

##### 945 Solving Stochastic Eigenvalue Problem of Wick Type

**Authors:**
Hassan Manouzi,
Taous-Meriem Laleg-Kirati

**Abstract:**

In this paper we study mathematically the eigenvalue problem for stochastic elliptic partial differential equation of Wick type. Using the Wick-product and the Wiener-Itô chaos expansion, the stochastic eigenvalue problem is reformulated as a system of an eigenvalue problem for a deterministic partial differential equation and elliptic partial differential equations by using the Fredholm alternative. To reduce the computational complexity of this system, we shall use a decomposition method using the Wiener-Itô chaos expansion. Once the approximation of the solution is performed using the finite element method for example, the statistics of the numerical solution can be easily evaluated.

**Keywords:**
Eigenvalue problem,
Wick product,
SPDEs,
finite
element,
Wiener-Itô chaos expansion.

##### 944 An Estimation of the Performance of HRLS Algorithm

**Authors:**
Shazia Javed,
Noor Atinah Ahmad

**Abstract:**

**Keywords:**
HRLS algorithm,
eigenvalue spread,
misalignment.

##### 943 The Positive Solution for Singular Eigenvalue Problem of One-dimensional p-Laplace Operator

**Authors:**
Lv Yuhua

**Abstract:**

In this paper, by constructing a special cone and using fixed point theorem and fixed point index theorem of cone, we get the existence of positive solution for a class of singular eigenvalue value problems with p-Laplace operator, which improved and generalized the result of related paper.

**Keywords:**
Cone,
fixed point index,
eigenvalue problem,
p-Laplace operator,
positive solutions.

##### 942 Positive Solutions for Semipositone Discrete Eigenvalue Problems via Three Critical Points Theorem

**Authors:**
Benshi Zhu

**Abstract:**

**Keywords:**
Discrete eigenvalue problems,
positive solutions,
semipositone,
three critical points theorem

##### 941 Method for Determining the Probing Points for Efficient Measurement of Freeform Surface

**Authors:**
Yi Xu,
Zexiang Li

**Abstract:**

In inspection and workpiece localization, sampling point data is an important issue. Since the devices for sampling only sample discrete points, not the completely surface, sampling size and location of the points will be taken into consideration. In this paper a method is presented for determining the sampled points size and location for achieving efficient sampling. Firstly, uncertainty analysis of the localization parameters is investigated. A localization uncertainty model is developed to predict the uncertainty of the localization process. Using this model the minimum size of the sampled points is predicted. Secondly, based on the algebra theory an eigenvalue-optimal optimization is proposed. Then a freeform surface is used in the simulation. The proposed optimization is implemented. The simulation result shows its effectivity.

**Keywords:**
eigenvalue-optimal optimization,
freeform surface inspection,
sampling size and location,
sampled points.

##### 940 An Eigen-Approach for Estimating the Direction-of Arrival of Unknown Number of Signals

**Authors:**
Dia I. Abu-Al-Nadi,
M. J. Mismar,
T. H. Ismail

**Abstract:**

A technique for estimating the direction-of-arrival (DOA) of unknown number of source signals is presented using the eigen-approach. The eigenvector corresponding to the minimum eigenvalue of the autocorrelation matrix yields the minimum output power of the array. Also, the array polynomial with this eigenvector possesses roots on the unit circle. Therefore, the pseudo-spectrum is found by perturbing the phases of the roots one by one and calculating the corresponding array output power. The results indicate that the DOAs and the number of source signals are estimated accurately in the presence of a wide range of input noise levels.

**Keywords:**
Array signal processing,
direction-of-arrival,
antenna arrays,
eigenvalues,
eigenvectors.

##### 939 Restarted Generalized Second-Order Krylov Subspace Methods for Solving Quadratic Eigenvalue Problems

**Authors:**
Liping Zhou,
Liang Bao,
Yiqin Lin,
Yimin Wei,
Qinghua Wu

**Abstract:**

**Keywords:**
Quadratic eigenvalue problem,
Generalized secondorder Krylov subspace,
Generalized second-order Arnoldi process,
Projection technique,
Refined technique,
Restarting.

##### 938 Combining Minimum Energy and Minimum Direct Jerk of Linear Dynamic Systems

**Authors:**
V. Tawiwat,
P. Jumnong

**Abstract:**

**Keywords:**
Optimization,
Dynamic,
Linear Systems,
Jerks.

##### 937 On Minimum Cycle Bases of the Wreath Product of Wheels with Stars

**Authors:**
M. M. M. Jaradat,
M. K. Al-Qeyyam

**Abstract:**

The length of a cycle basis of a graph is the sum of the lengths of its elements. A minimum cycle basis is a cycle basis with minimum length. In this work, a construction of a minimum cycle basis for the wreath product of wheels with stars is presented. Moreover, the length of minimum cycle basis and the length of its longest cycle are calculated.

**Keywords:**
Cycle space,
minimum cycle basis,
wreath product.

##### 936 The New Relative Efficiency Based on the Least Eigenvalue in Generalized Linear Model

**Authors:**
Chao Yuan,
Bao Guang Tian

**Abstract:**

**Keywords:**
Generalized linear model,
generalized relative coefficient,
least eigenvalue,
relative efficiency.

##### 935 Small Signal Stability Assessment of MEPE Test System in Free and Open Source Software

**Authors:**
Kyaw Myo Lin

**Abstract:**

This paper presents small signal stability study carried over the 140-Bus, 31-Machine, 5-Area MEPE system and validated on free and open source software: PSAT. Well-established linearalgebra analysis, eigenvalue analysis, is employed to determine the small signal dynamic behavior of test system. The aspects of local and interarea oscillations which may affect the operation and behavior of power system are analyzed. Eigenvalue analysis is carried out to investigate the small signal behavior of test system and the participation factors have been determined to identify the participation of the states in the variation of different mode shapes. Also, the variations in oscillatory modes are presented to observe the damping performance of the test system.

**Keywords:**
Eigenvalue analysis,
Mode shapes,
MEPE test
system,
Participation factors,
Power System oscillations.

##### 934 A Study of Under Actuator Dynamic System by Comparing between Minimum Energy and Minimum Jerk Problems

**Authors:**
Tawiwat V.,
Phermsak S.,
Noppasit C.

**Abstract:**

This paper deals with under actuator dynamic systems such as spring-mass-damper system when the number of control variable is less than the number of state variable. In order to apply optimal control, the controllability must be checked. There are many objective functions to be selected as the goal of the optimal control such as minimum energy, maximum energy and minimum jerk. As the objective function is the first priority, if one like to have the second goal to be applied; however, it could not fit in the objective function format and also avoiding the vector cost for the objective, this paper will illustrate the problem of under actuator dynamic systems with the easiest to deal with comparing between minimum energy and minimum jerk.

**Keywords:**
Under actuator,
Dynamic optimal control,
Minimumjerk,
Minimum energy.

##### 933 Comparison between Minimum Direct and Indirect Jerks of Linear Dynamic Systems

**Authors:**
Tawiwat Veeraklaew,
Nathasit Phathana-im,
Songkit Heama

**Abstract:**

**Keywords:**
Optimization,
Dynamic,
Linear Systems,
Jerks.

##### 932 An Effective Algorithm for Minimum Weighted Vertex Cover Problem

**Authors:**
S. Balaji,
V. Swaminathan,
K. Kannan

**Abstract:**

The Minimum Weighted Vertex Cover (MWVC) problem is a classic graph optimization NP - complete problem. Given an undirected graph G = (V, E) and weighting function defined on the vertex set, the minimum weighted vertex cover problem is to find a vertex set S V whose total weight is minimum subject to every edge of G has at least one end point in S. In this paper an effective algorithm, called Support Ratio Algorithm (SRA), is designed to find the minimum weighted vertex cover of a graph. Computational experiments are designed and conducted to study the performance of our proposed algorithm. Extensive simulation results show that the SRA can yield better solutions than other existing algorithms found in the literature for solving the minimum vertex cover problem.

**Keywords:**
Weighted vertex cover,
vertex support,
approximation algorithms,
NP-complete problem.

##### 931 Modal Analysis of Power System with a Microgrid

**Authors:**
Burak Yildirim,
Muhsin Tunay Gençoğlu

**Abstract:**

A microgrid (MG) is a small power grid composed of localized medium or low level power generation, storage systems, and loads. In this paper, the effects of a MG on power systems voltage stability are shown. The MG model, designed to demonstrate the effects of the MG, was applied to the IEEE 14 bus power system which is widely used in power system stability studies. Eigenvalue and modal analysis methods were used in simulation studies. In the study results, it is seen that MGs affect system voltage stability positively by increasing system voltage instability limit value for buses of a power system in which MG are placed.

**Keywords:**
Eigenvalue analysis,
microgrid,
modal analysis,
voltage stability.

##### 930 An Efficient Iterative Updating Method for Damped Structural Systems

**Authors:**
Jiashang Jiang

**Abstract:**

Model updating is an inverse eigenvalue problem which concerns the modification of an existing but inaccurate model with measured modal data. In this paper, an efficient gradient based iterative method for updating the mass, damping and stiffness matrices simultaneously using a few of complex measured modal data is developed. Convergence analysis indicates that the iterative solutions always converge to the unique minimum Frobenius norm symmetric solution of the model updating problem by choosing a special kind of initial matrices.

**Keywords:**
Model updating,
iterative algorithm,
damped structural
system,
optimal approximation.

##### 929 Eigenwave Analysis and Simulation of Disc Loaded Interaction Structure for Wideband Gyro-TWT Amplifier

**Authors:**
R. K. Singh,
P. K. Jain

**Abstract:**

**Keywords:**
Broadbanding,
Disc-loaded interaction structure,
Eigenvalue,
Gyro-TWT,
HFSS.

##### 928 An Approach to the Solving Non-Steiner Minimum Link Path Problem

**Authors:**
V. Tereshchenko,
A. Tregubenko

**Abstract:**

In this study we survey the method for fast finding a minimum link path between two arbitrary points within a simple polygon, which can pass only through the vertices, with preprocessing.

**Keywords:**
Minimum link path,
simple polygon,
Steiner points,
optimal algorithm.

##### 927 Linear-Operator Formalism in the Analysis of Omega Planar Layered Waveguides

**Authors:**
António L. Topa

**Abstract:**

**Keywords:**
Metamaterials,
linear operators,
omega media,
layered waveguide,
orthogonality relations

##### 926 A Study of the Change of Damping Coefficient Regarding Minimum Displacement

**Authors:**
Tawiwat V.,
Narongkorn D.,
Auttapoom L.

**Abstract:**

This research proposes the change of damping coefficient regarding minimum displacement. From the mass with external forced and damper problem, when is the constant external forced transmitted to the understructure in the difference angle between 30 and 60 degrees. This force generates the vibration as general known; however, the objective of this problem is to have minimum displacement. As the angle is changed and the goal is the same; therefore, the damper of the system must be varied while keeping constant spring stiffness. The problem is solved by using nonlinear programming and the suitable changing of the damping coefficient is provided.

**Keywords:**
Damping coefficient,
Optimal control,
Minimum Displacement and Vibration

##### 925 An Iterative Method for the Symmetric Arrowhead Solution of Matrix Equation

**Authors:**
Minghui Wang,
Luping Xu,
Juntao Zhang

**Abstract:**

**Keywords:**
Symmetric arrowhead matrix,
iterative method,
like-minimum norm,
minimum norm,
Algorithm LSQR.

##### 924 Minimum Data of a Speech Signal as Special Indicators of Identification in Phonoscopy

**Authors:**
Nazaket Gazieva

**Abstract:**

Voice biometric data associated with physiological, psychological and other factors are widely used in forensic phonoscopy. There are various methods for identifying and verifying a person by voice. This article explores the minimum speech signal data as individual parameters of a speech signal. Monozygotic twins are believed to be genetically identical. Using the minimum data of the speech signal, we came to the conclusion that the voice imprint of monozygotic twins is individual. According to the conclusion of the experiment, we can conclude that the minimum indicators of the speech signal are more stable and reliable for phonoscopic examinations.

**Keywords:**
Biometric voice prints,
fundamental frequency,
phonogram,
speech signal,
temporal characteristics.

##### 923 Optimal Design of UPFC Based Damping Controller Using Iteration PSO

**Authors:**
Amin Safari,
Hossein Shayeghi

**Abstract:**

This paper presents a novel approach for tuning unified power flow controller (UPFC) based damping controller in order to enhance the damping of power system low frequency oscillations. The design problem of damping controller is formulated as an optimization problem according to the eigenvalue-based objective function which is solved using iteration particle swarm optimization (IPSO). The effectiveness of the proposed controller is demonstrated through eigenvalue analysis and nonlinear time-domain simulation studies under a wide range of loading conditions. The simulation study shows that the designed controller by IPSO performs better than CPSO in finding the solution. Moreover, the system performance analysis under different operating conditions show that the δE based controller is superior to the mB based controller.

**Keywords:**
UPFC,
Optimization Problem,
Iteration ParticleSwarm Optimization,
Damping Controller,
Low FrequencyOscillations.

##### 922 Multivariable Predictive PID Control for Quadruple Tank

**Authors:**
Qamar Saeed,
Vali Uddin,
Reza Katebi

**Abstract:**

**Keywords:**
Proportional-integral-derivative Control,
GeneralizedPredictive Control,
Predictive PID Control,
Multivariable Systems

##### 921 Multimachine Power System Stabilizers Design Using PSO Algorithm

**Authors:**
H. Shayeghi,
A. Safari,
H. A. Shayanfar

**Abstract:**

In this paper, multiobjective design of multi-machine Power System Stabilizers (PSSs) using Particle Swarm Optimization (PSO) is presented. The stabilizers are tuned to simultaneously shift the lightly damped and undamped electro-mechanical modes of all machines to a prescribed zone in the s-plane. A multiobjective problem is formulated to optimize a composite set of objective functions comprising the damping factor, and the damping ratio of the lightly damped electromechanical modes. The PSSs parameters tuning problem is converted to an optimization problem which is solved by PSO with the eigenvalue-based multiobjective function. The proposed PSO based PSSs is tested on a multimachine power system under different operating conditions and disturbances through eigenvalue analysis and some performance indices to illustrate its robust performance.

**Keywords:**
PSS Design,
Particle Swarm Optimization,
Dynamic
Stability,
Multiobjective Optimization.

##### 920 Minimum Fluidization Velocities of Binary-Solid Mixtures: Model Comparison

**Authors:**
Mohammad Asif

**Abstract:**

**Keywords:**
Bed void fraction,
Binary solid mixture,
Minimumfluidization velocity,
Packing models

##### 919 Numerical Computation of Sturm-Liouville Problem with Robin Boundary Condition

**Authors:**
Theddeus T. Akano,
Omotayo A. Fakinlede

**Abstract:**

**Keywords:**
Sturm-Liouville problem,
Robin boundary condition,
finite element method,
eigenvalue problems.

##### 918 Improved FP-growth Algorithm with Multiple Minimum Supports Using Maximum Constraints

**Authors:**
Elsayeda M. Elgaml,
Dina M. Ibrahim,
Elsayed A. Sallam

**Abstract:**

Association rule mining is one of the most important fields of data mining and knowledge discovery. In this paper, we propose an efficient multiple support frequent pattern growth algorithm which we called “MSFP-growth” that enhancing the FPgrowth algorithm by making infrequent child node pruning step with multiple minimum support using maximum constrains. The algorithm is implemented, and it is compared with other common algorithms: Apriori-multiple minimum supports using maximum constraints and FP-growth. The experimental results show that the rule mining from the proposed algorithm are interesting and our algorithm achieved better performance than other algorithms without scarifying the accuracy.

**Keywords:**
Association Rules,
FP-growth,
Multiple minimum
supports,
Weka Tool