eigenvalue

The parameters of the microenvironment can be detected through picking up eigenvalues of the surface plasma resonance spectra.

In the case of the eigenvalues with the Jordan diagonal canonical form, a parametric method is proposed.

The purpose of this paper is to discuss the estimation for eigenvalues of matrices and its application in stability theory.

Eigenvalues and eigenvectors, characteristic polynomial, diagonalization.

The diffusion "strength" is controlled by a function that measures the degree of dissimilarity between the eigenvalues.

The solution of the set of second- order linear differential equations ( 6. 10 ) depends on the eigenvalues of A .

Negative eigenvalues indicate voltage instability, while positive eigenvalues close to zero indicate a risky condition.

This equivalent method can reduce the dimension of multi-machine system efficiently, while all of the system's eigenvalues are preserved.

If the operator's spectrum is discrete, the observable can only attain those discrete eigenvalues.

A new estimation for real eigenvalues of matrices is obtained The conclusions are given in the form of theorems and have been tested.

The new method has less computational cost for the new method need not the eigenvalues decomposition.

Such technique pursues, through the study of the eigenvalues, the reduction of the dimensionality in the representation space .

Based on these properties, some subclass of P-matrix are used to localize the real eigenvalues of a real matrix.

As a preliminary, we establish several basic facts about eigenvalues of matrices over commutative rings.

To solve the characteristic polynomial and the eigenvalues of square matrices with higher order normally is not an easy way.

The equation for calculating the corrected eigenvalues is obtained in a quite different form.

A matrix is positive semidefinite if and only if each of its eigenvalues is greater than or equal to zero.

Some basic results on eigenvalues of matrices over a commutative ring are established.

Complex modal analysis is then performed to calculate the eigenvalues and eigenvectors, and then modal parameters are obtained.

We now do some juggling with (6. 69) to prove that the eigenvalues of B are the same as those of A.

A new method for computing the interval eigenvalues of structures with large variations of interval parameters was discussed.

The eigenvalues and cut-off wavelengths of double ridged waveguide are computed and analyzed by Finite Element Method(FEM).

Meschach computes Fast Fourier Transforms, extracts columns and rows, and computes eigenvalues of symmetric matrices.

At first, all the eigenvalues and their eigenfunction vectors in rectangular domain are solved directly with rational analyses.

the statistic eigenvalues of wave moments and sagging compound moments in midship section are given.

Furthermore, a new bound for eigenvalues of block matrices was given and some examples are given to show the advantages of this new result.

Similar matrices have the same characteristic polynomial , thus they have the same eigenvalues .

Eigenvalues, more generally, spectra, are an imperfect tool for analyzing nonnormal matrices and operators.

The amplitude of limit cycle and the critical parameter curves are determined by optimizing the real part of complex eigenvalues.

This paper studies the universal inequalities of eigenvalues for higher order Laplacians on spherical domains.

Then the angles between spectral coefficients vectors were computed based on eigenvalues and eigenvectors after the matrix was decomposed.

Uses graphic analytic method to find the eigenvalues of heat conduction equations.

Use of anti- counting method offerings eigenvalues and eigenvectors of the algorithm .

Notice that the energy eigenvalues are not equally spaced.

Gives some upper bounds and lower bounds for eigenvalues using trace of matrix.

The kinds of defects can be distinguished and the extent of development of defects can be compared by the magnitude of the eigenvalues.

In voltage stability analysis, a modal decomposition is used, by which eigenvalues of the electric system are obtained.

Third, made the table of statistical mean eigenvalue in fluctuant range and built the matrix of weighted eigenvalues.

A Note about "On Inequalities for Eigenvalues of Matrices"

In fact, we could make the substitution and still wind up with the correct eigenfunctions and eigenvalues.

The convergence of formal solutions is very complicated when the eigenvalues lie on the unit circle.

Much work has been done in the field of bounding eigenvalues and condition numbers, but the support theory is a new conception.

The n roots of this equation are called the eigenvalues.

These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric.

In Sect. 4. 7 we present some results on the behavior of eigenvalues.

For example, no function returns the eigenvalues of a matrix.

An Estimate of the eigenvalues for a Few Special Matrixes and a Discussion

A direct calculation of eigenvalues of any arbitrary range of energy within local-subspace

Existence of Positive Solution for a Second-Order Three-Point Eigenvalues Problem

Newton Iterative Arithmetic of a Unreduced Symmetric Tridiagonal Matrix with Eigenvalues

One Computational Method of the Weighted Eigenvalues of a Class of Differential Equation with Four Orders

Influence of the Number of Real-Parameter Solutions on the Distribution of Eigenvalues of Differential Operators

Solution of accurate energy eigenvalues of the common double coupled harmonic oscillators via transformation of representations

Error Estimates and High Accuracy Corrections of the Approximate Eigenvalues by the Nine-point Difference Scheme on the L-shaped Region

Relationship between the Dust Weathers and the Eigenvalues of Preceding Monthly Atmospheric Circulation in Xinjiang in Spring

Quantitative evaluation of the reliability of acoustic impedance inversion using eigenvalues of sensitive matrix

A Recursive Algorithm of Estimating the Bounds of the Eigenvalues of a Symmetric Matrix

The Relationships Among the Quantitative Eigenvalues of Silkworm Pupa Body

Bounds on the Sum of the Eigenvalues of a Graph and Its Complement

Eigenvalues, Eigenvectors and Their Relationship Analysis of Stochastic Parameter Structure

The Critical Point Values for a Class of Cubic Polynomial Differential System with Zero Eigenvalues

On the Upper Bound of Second Eigenvalues for a Class of Fourth Order Differential Equations

Study on Stochastic Eigenvalues of a Simple Supported Beam

Simplest Normal Form for Singularity with a Pure Imaginary Pair and Double Zero Eigenvalues

Modified Mahalanobis Distance by Compensation for Errors of Non-dominant Eigenvalues and Asymmetrical Distribution

On the Upper Bound of Eigenvalues for a Class of Differential Equation with Higher Orders

Bifurcation from Simple Multiplicity of Eigenvalues for Nonlinear Elliptic Equation Boundary Problems

Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method

Weighted Estimates for Eigenvalues of a Differential System

Computation of eigenvalues of acoustic-structural coupled vibration for underwater structures

Estimates of Eigenvalues'Upper Bound for a Class of Differential System with Sixth-Order

On Eigenvalues Distribution of a Class of Nonsingular Mixed Graphs

Eigenvalues of a kind of circulant matrices and its application on subdivision

Computation of the Generalized Eigenvalues of the Differential Equation with Four Orders

Calculation of Critical Eigenvalues with Increasing Damping Ratios in Small Signal Stability Analysis

Relationships between eigenvalues of arthropod assemblage in complex tea plantation

Estimates for Eigenvalues of a Differential System

Iterative Method for Eigenvector Derivatives with Repeated Eigenvalues

Structural Topology Optimization with Eigenvalues

Getting Texture Eigenvalues in'Classification and Identification of Stored-Product Pests

Matrix eigenvalues of implicit difference scheme for two-dimensional heat conduction equation

On the trace and eigenvalues of the structure matrix of a graph

Localized Proximal Support Vector Machine via Generalized Eigenvalues

Adjacent Diagonally Dominant Matrices and Distribution of Eigenvalues

Sensitivity analysis of multiple eigenvalues of nonsymmetric generalized eigenvalue problems

Modeling and Delicacy Analysis of the Main Eigenvalues in Roll Resonance

Properties of the set of the limit points of eigenvalues on graphs

The Largest Eigenvalues of Laplacian Matrices of Trees and Unicyclic Graphs Given the Order an Edge Independence Number

On inequalities of eigenvalues of self-conjugate positive semi-definite quaternion matrices

Analysis of Eigenvalues of Fluid-structure Interaction Vibration for Structures in Shallow Water

On eigenvalues of a class of mixed graphs with same underlying graphs

A Method for Finding the Eigenvalues and Eigenvectors of a Matrix

Boundary Stiffness Sensitivity Analysis of Eigenvalues

Eigenvalues and Eigenvectors--Natural Frequencies and Modes;

Finding maximum eigenvalues of positive matrices by using similarity transformation

The Distribution of Discrete Eigenvalues and Their Limit Points for Transport Operators

Method for Dynamic Eigenvalues Interval Analysis of Uncertain Structures

cvEigenVV Compute eigenvalues and eigenvectors of a square matrix

Computing Vibrational Energy Eigenvalues and Spectra of HF System by Finite Difference Method

An Extrapolation Scheme for Finite Element Eigenvalues on Domains with Reentrant Corners

Weighted Estimation of Eigenvalues for Differential System with Fourth- order

Application of detecting cranny using eigenvalues algorithm

Upper and lower bounds of eigenvalues of uncertain closed-loop systems with second-order perturbation

Some Inequalities of Eigenvalues for Self conjugate Quaternion Matrices

Eigenvalues and Eigenvectors Analysis of Random Structure Systems

Eigenvalues of Structures with Separate Stochastic Boundary Shape

Eigenvalues of Structures With random Boundary Restrict Stiffness

A Neural Network Algorithm for Computing Matrix Eigenvalues and Eigenvectors

Edge Singularity of Bonded Piezoelectric Materialswith Two Repeated Eigenvalues

Upper Estimates of Weighted Eigenvalues for the Vibration of Membranes

Basic properties of the eigenvalues of Hermitian operators

Estimations of Eigenvalues'Upper Bound for Some Differential Operator

The Eigenvalues of Unsymmetric Tridiagonal Matrices

Upper Bounder Estimates of Eigenvalues for Biharmonic Equations

Evaluating Bounds for Eigenvalues Using Traces and Determinants

Approximations to Eigenvalues of Perturbed General Matrix

Eigenvalues of Spun Elliptical Birefringent Optical Fiber

The Further Order of the Unicyclic Graphs by Their Largest Eigenvalues

Estimations for the Eigenvalues of the Product of Matrices

Analytical Relations Between the Eigenvalues of Circular Plate Based on Various Plate Theories

On the Upper Bound of Eigenvalues for Differential Equation with Higher Orders

An Improved Approximation to Eigenvalues of Perturbed General Matrix

Several Inequalities of the Matrix Eigenvalues

Demonstration of Eigenvalues andthe Estimation due to FUZZY Judgement Matrix

Computing Bound of Quadratic Self-Adjoint Matrix Polynomial's Eigenvalues

A disc estimation for eigenvalues of a block matrix

Expressing Matrix Function by Divide Difference of Eigenvalues

Eigenvalues of Structures with Stochastic Boundary Shape

Computing Eigenvalues and Eigenvectors of Matrix by Neural Networks

An Inequality of Eigenvalues for Self-conjugate Quaternion Matrices

Naming Matrix and Calculating Eigenvalues and Eigenvectors of Matrix in Excel

A new method for computing the eigenvalues bounds of structures with interval parameters

One Computational Method of the Eigenvalues of the Horizontal Vibration Problem of Beam

Table 2 Initial eigenvalues and principal component cumulative contributions

A Analysis on the Bifurcation of the Planar Vector Field Which Has the Double--Zero Eigenvalues

The Eigenvalues of Positive Semidefinite Matrices

An Accurate Solution of Eigenvalues and Analysis on Optical Field in Planar Waveguide

Upper Bounds for Eigenvalues of the Biharmonic Operator

Study on a Class of Inverting Higher Degree Adjoint Matrix and Eigenvalues

Tab. 5 the eigenvalues and variance contribution of chemical composition'correlation matrix of fissure water

Improvement to Upper Bound and Lower Bound of the Matrix Eigenvalues

The Normalized Laplacian Eigenvalues and Toughness of Graphs

The Order of the Unicyclic Graphs by Their Largest Eigenvalues

The Upper Bound of Eigenvalues for Elliptic Operators of Higher Orders

Tab. 8 the eigenvalues and variance contribution of chemical composition'correlation matrix of karst water

The Finite Element Method Analysis of Waveguide Eigenvalues

On the Ratio of Estimators of Panel Model's Spectral Decomposition Eigenvalues

Some Estimates for Eigenvalues and Singular Values of Normal Matrices

Tab. 2 the eigenvalues and variance contribution of chemical composition'correlation matrix of pore water

A method for estimating upper and lower bounds of eigenvalues of closedloop systems with uncertain parameters

The method of computing the eigenvalues and eigenvectors of real and symmetric matrix

A Note on Perturbation Estimate of Eigenvalues of General Square Matrices

Proximal Support Vector Machine via Generalized Eigenvalues, GEPSVM

Estimate of eigenvalues of nonnegative matrices

Sensitivity Analysis of Multiple Eigenvalues of Symmetric Generalized Eigenvalue Problems Dependent on One Parameter

The Discussion on the Eigenvalues of Product for Two Hermitian Matrices

The eigenvalues of a type of harmonic maps

Methods of Computing the Eigenvalues of Large Real and Symmetric Matrix

Ridged Waveguide Eigenvalues Analysis With FEM

The Bounds on Imaginary Part of Eigenvalues of Real Matrix Using Trace

Index of Complex Eigenvalues of Population Operator

Relation between Eigenvalues of Matrix Sum and Matrix Product

Lie Group Method for Solving Inverse Eigenvalues Problem

Block Eigenvalues of a Kind of Special Block Compound Matrices

A method of determining the location of eigenvalues of real anti-symmetric matrix

On the Perturbation of the Eigenvalues of Matrices

The Largest and Smallest Eigenvalues of Double Cyclic Graphs

Bounds for Modules of Eigenvalues of Iterative Matrices

Eigenvalues of volume and area in the spin network representation

An Further Generalizations of Ky Fan's Theorem of Matrix Eigenvalues

The real eigenvalues of the bipartite tournament matrices

On the Problem of the Eigenvalues of Heat Conduction Equations

On the estimate of the gap of the first two eigenvalues of the Laplacian

On Eigenvalues Distribution of Mixed Graphs

On Similarity Classes of Right Eigenvalues for Quaternionic Matrix

An Note on the Regions Containing Eigenvalues of Matrix

About Bounds for Eigenvalues Using Trace of Matrix

The Inverse Problem of Eigenvalues and Singular Values

G-Functions and Eigenvalues of Block Matrices

Research on fuzzy eigenvalues of samples of rock and soil

Trees with Exactly Two Main Eigenvalues

Two Kinds of Methods and Discussion About Eigenvalues of Energy of One-dimension Harmonic Oscillator

Using the method to solve the matrix's eigenvalues and eigenvectors;

Bound of Eigenvalues of Line Graphs

Full-field-of-view stray light estimation for FY-2 meteorological satellite based on the high-order statistical eigenvalues

There are three main sections: In chapter 2 we apply the characteristic polynomial and graph angles to study the eigenvalues;