**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**59

# Search results for: eigenvalues

##### 59 Using Eigenvalues and Eigenvectors in Population Growth and Stability Obtaining

**Authors:**
Abubakar Sadiq Mensah

**Abstract:**

**Keywords:**
eigenvalues,
eigenvectors,
population,
growth/stability

##### 58 Inverse Scattering for a Second-Order Discrete System via Transmission Eigenvalues

**Authors:**
Abdon Choque-Rivero

**Abstract:**

**Keywords:**
inverse scattering,
discrete system,
transmission eigenvalues,
Marchenko method

##### 57 Bounds on the Laplacian Vertex PI Energy

**Authors:**
Ezgi Kaya,
A. Dilek Maden

**Abstract:**

**Keywords:**
energy,
Laplacian energy,
laplacian vertex PI eigenvalues,
Laplacian vertex PI energy,
vertex PI index

##### 56 FPGA Implementation of Novel Triangular Systolic Array Based Architecture for Determining the Eigenvalues of Matrix

**Authors:**
Soumitr Sanjay Dubey,
Shubhajit Roy Chowdhury,
Rahul Shrestha

**Abstract:**

**Keywords:**
coordinate rotation digital computer,
three angle complex rotation,
triangular systolic array,
QR algorithm

##### 55 Matrix Valued Difference Equations with Spectral Singularities

**Authors:**
Serifenur Cebesoy,
Yelda Aygar,
Elgiz Bairamov

**Abstract:**

**Keywords:**
asymptotics,
continuous spectrum,
difference equations,
eigenvalues,
jost functions,
spectral singularities

##### 54 Normalized Laplacian Eigenvalues of Graphs

**Authors:**
Shaowei Sun

**Abstract:**

**Keywords:**
graph,
normalized Laplacian eigenvalues,
normalized Laplacian matrix,
tree

##### 53 Some New Bounds for a Real Power of the Normalized Laplacian Eigenvalues

**Authors:**
Ayşe Dilek Maden

**Abstract:**

**Keywords:**
degree Kirchhoff index,
normalized Laplacian eigenvalue,
spanning tree,
simple connected graph

##### 52 The Second Smallest Eigenvalue of Complete Tripartite Hypergraph

**Authors:**
Alfi Y. Zakiyyah,
Hanni Garminia,
M. Salman,
A. N. Irawati

**Abstract:**

**Keywords:**
connectivity,
graph,
hypergraph,
Laplacian matrix

##### 51 The Dynamics of a 3D Vibrating and Rotating Disc Gyroscope

**Authors:**
Getachew T. Sedebo,
Stephan V. Joubert,
Michael Y. Shatalov

**Abstract:**

**Keywords:**
Bryan’s effect,
bending vibrations,
disc gyroscope,
eigenfunctions,
eigenvalues,
tuning conditions

##### 50 Extremal Laplacian Energy of Threshold Graphs

**Authors:**
Seyed Ahmad Mojallal

**Abstract:**

**Keywords:**
Laplacian eigenvalues,
Laplacian energy,
threshold graphs,
extremal graphs

##### 49 A Variant of a Double Structure-Preserving QR Algorithm for Symmetric and Hamiltonian Matrices

**Authors:**
Ahmed Salam,
Haithem Benkahla

**Abstract:**

**Keywords:**
block implicit QR algorithm,
preservation of a double structure,
QR algorithm,
symmetric and Hamiltonian structures

##### 48 A Time-Reducible Approach to Compute Determinant |I-X|

**Authors:**
Wang Xingbo

**Abstract:**

*X*| is primary and fundamental because it can help to compute many other determinants. This article puts forward a time-reducible approach to compute determinant |I-

*X*|. The approach is derived from the Newton’s identity and its time complexity is no more than that to compute the eigenvalues of the square matrix

*X*. Mathematical deductions and numerical example are presented in detail for the approach. By comparison with classical approaches the new approach is proved to be superior to the classical ones and it can naturally reduce the computational time with the improvement of efficiency to compute eigenvalues of the square matrix.

**Keywords:**
algorithm,
determinant,
computation,
eigenvalue,
time complexity

##### 47 Improvement a Lower Bound of Energy for Some Family of Graphs, Related to Determinant of Adjacency Matrix

**Authors:**
Saieed Akbari,
Yousef Bagheri,
Amir Hossein Ghodrati,
Sima Saadat Akhtar

**Abstract:**

**Keywords:**
eigenvalues,
energy,
line graphs,
matching number

##### 46 1D Klein-Gordon Equation in an Infinite Square Well with PT Symmetry Boundary Conditions

**Authors:**
Suleiman Bashir Adamu,
Lawan Sani Taura

**Abstract:**

**Keywords:**
Eigenvalues,
Eigenfunction,
Hamiltonian,
Klein- Gordon equation,
PT-symmetric quantum mechanics

##### 45 A Contribution to the Polynomial Eigen Problem

**Authors:**
Malika Yaici,
Kamel Hariche,
Tim Clarke

**Abstract:**

**Keywords:**
eigenvalues/eigenvectors,
latent values/vectors,
matrix fraction description,
state space description

##### 44 Random Matrix Theory Analysis of Cross-Correlation in the Nigerian Stock Exchange

**Authors:**
Chimezie P. Nnanwa,
Thomas C. Urama,
Patrick O. Ezepue

**Abstract:**

**Keywords:**
correlation matrix,
eigenvalue and eigenvector,
inverse participation ratio,
portfolio optimization,
random matrix theory

##### 43 A Combined Error Control with Forward Euler Method for Dynamical Systems

**Authors:**
R. Vigneswaran,
S. Thilakanathan

**Abstract:**

**Keywords:**
adaptivity,
fixed point,
long time simulations,
stability,
linear system

##### 42 Optical Signal-To-Noise Ratio Monitoring Based on Delay Tap Sampling Using Artificial Neural Network

**Authors:**
Feng Wang,
Shencheng Ni,
Shuying Han,
Shanhong You

**Abstract:**

**Keywords:**
artificial neural network (ANN),
chromatic dispersion (CD),
delay-tap sampling (DTS),
optical signal-to-noise ratio (OSNR)

##### 41 Genetic Variation among the Wild and Hatchery Raised Populations of Labeo rohita Revealed by RAPD Markers

**Authors:**
Fayyaz Rasool,
Shakeela Parveen

**Abstract:**

**Keywords:**
variation,
clustering,
PCA,
wild,
hatchery,
RAPAD,
Labeo rohita

##### 40 Quantum Graph Approach for Energy and Information Transfer through Networks of Cables

**Authors:**
Mubarack Ahmed,
Gabriele Gradoni,
Stephen C. Creagh,
Gregor Tanner

**Abstract:**

**Keywords:**
eigenvalues,
multiple-input multiple-output,
quantum graph,
random matrix theory,
transmission line

##### 39 An Improved Adaptive Dot-Shape Beamforming Algorithm Research on Frequency Diverse Array

**Authors:**
Yanping Liao,
Zenan Wu,
Ruigang Zhao

**Abstract:**

**Keywords:**
adaptive beamforming,
correction index,
limited snapshot,
multi-carrier frequency diverse array,
robust

##### 38 Robust Segmentation of Salient Features in Automatic Breast Ultrasound (ABUS) Images

**Authors:**
Lamees Nasser,
Yago Diez,
Robert Martí,
Joan Martí,
Ibrahim Sadek

**Abstract:**

**Keywords:**
Automated 3D Breast Ultrasound,
Eigenvalues of Hessian matrix,
Nipple detection,
Rib detection

##### 37 Kemmer Oscillator in Cosmic String Background

**Authors:**
N. Messai,
A. Boumali

**Abstract:**

**Keywords:**
Kemmer oscillator,
cosmic string,
Dirac oscillator,
eigenfunctions

##### 36 Stability of Property (gm) under Perturbation and Spectral Properties Type Weyl Theorems

**Authors:**
M. H. M. Rashid

**Abstract:**

**Keywords:**
Weyl's Theorem,
Weyl Spectrum,
Polaroid operators,
property (gm)

##### 35 The Realization of a System’s State Space Based on Markov Parameters by Using Flexible Neural Networks

**Authors:**
Ali Isapour,
Ramin Nateghi

**Abstract:**

**Keywords:**
Markov parameters,
realization,
activation function,
flexible neural network

##### 34 Comparison of Finite Difference Schemes for Numerical Study of Ripa Model

**Authors:**
Sidrah Ahmed

**Abstract:**

**Keywords:**
finite difference schemes,
Riemann problem,
shallow water equations,
temperature gradients

##### 33 The Norm, Singular Value and Condition Number Analysis for the Hadamard Matrices

**Authors:**
Emine Tuğba Akyüz

**Abstract:**

**Keywords:**
condition number,
Hadamard matrix,
norm,
singular value

##### 32 Representation of the Solution of One Dynamical System on the Plane

**Authors:**
Kushakov Kholmurodjon,
Muhammadjonov Akbarshox

**Abstract:**

**Keywords:**
dynamic system,
ellipse,
hyperbola,
Hess system,
polar coordinate system

##### 31 Energy States of Some Diatomic Molecules: Exact Quantization Rule Approach

**Authors:**
Babatunde J. Falaye

**Abstract:**

**Keywords:**
Schrödinger equation,
exact quantization rule,
functional analysis,
Deng-Fan potential

##### 30 Turing Pattern in the Oregonator Revisited

**Authors:**
Elragig Aiman,
Dreiwi Hanan,
Townley Stuart,
Elmabrook Idriss

**Abstract:**

**Keywords:**
diffusion driven instability,
common Lyapunov function (CLF),
turing pattern,
positive-definite matrix