Nuclear Physics, Section B, ISSN 0550-3213, 10/2019, Volume 947, p. 114734

We analyze the known results for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL...

POMERANCHUK SINGULARITY | 2ND-ORDER CONTRIBUTIONS | DEEP INELASTIC-SCATTERING | PHYSICS, PARTICLES & FIELDS

POMERANCHUK SINGULARITY | 2ND-ORDER CONTRIBUTIONS | DEEP INELASTIC-SCATTERING | PHYSICS, PARTICLES & FIELDS

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 11/2015, Volume 484, pp. 504 - 539

The authors' monograph Spectral Generalizations of Line Graphs was published in 2004, following the successful use of star complements to complete the classification of graphs with least eigenvalue −2...

Hoffman graph | Star complement | Graph spectra | Signed graph | signless Laplacian | MATHEMATICS, APPLIED | GENERALIZED LINE GRAPHS | COSPECTRAL GRAPHS | FAT HOFFMAN GRAPHS | STAR COMPLEMENTS | SIGNED GRAPHS | 2ND LARGEST EIGENVALUE | MATHEMATICS | VERTEX-DELETED SUBGRAPHS | BIPARTITE INTEGRAL GRAPHS | SMALLEST EIGENVALUE

Hoffman graph | Star complement | Graph spectra | Signed graph | signless Laplacian | MATHEMATICS, APPLIED | GENERALIZED LINE GRAPHS | COSPECTRAL GRAPHS | FAT HOFFMAN GRAPHS | STAR COMPLEMENTS | SIGNED GRAPHS | 2ND LARGEST EIGENVALUE | MATHEMATICS | VERTEX-DELETED SUBGRAPHS | BIPARTITE INTEGRAL GRAPHS | SMALLEST EIGENVALUE

Journal Article

Mechanical Systems and Signal Processing, ISSN 0888-3270, 11/2018, Volume 112, pp. 265 - 279

.... This paper is concerned with the minimum norm partial quadratic eigenvalue assignment problem (MNPQEAP...

Minimum norm feedback | Vibration | 93B55 | Receptance | 93C15 | Partial quadratic eigenvalue assignment | 65F18 | System matrices | GRADIENT FLOW | PENCIL | PARTIAL POLE-PLACEMENT | TIME-DELAY | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL

Minimum norm feedback | Vibration | 93B55 | Receptance | 93C15 | Partial quadratic eigenvalue assignment | 65F18 | System matrices | GRADIENT FLOW | PENCIL | PARTIAL POLE-PLACEMENT | TIME-DELAY | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 11/2016, Volume 271, Issue 10, pp. 2701 - 2751

.... We focus our analysis on the properties of the generalised principal eigenvalue λp(LΩ+a) defined byλp(LΩ+a):=sup{λ∈R|∃φ∈C(Ω¯),φ>0,such that LΩ[φ]+aφ+λφ≤0 in Ω}. We establish some new properties of this generalised principal eigenvalue...

Non-local operator | Principal eigenvalue | Definition and variational characterisation | Singular limits | SPACE PERIODIC HABITATS | MAXIMUM PRINCIPLE | MONOSTABLE EQUATIONS | MATHEMATICS | 2ND-ORDER ELLIPTIC-OPERATORS | SPATIAL HETEROGENEITY | EVOLUTION EQUATION | DIFFUSION-PROBLEMS | SPREADING SPEEDS | POPULATION-DYNAMICS | NEUMANN BOUNDARY-CONDITIONS | Functional Analysis | Analysis of PDEs | Mathematics

Non-local operator | Principal eigenvalue | Definition and variational characterisation | Singular limits | SPACE PERIODIC HABITATS | MAXIMUM PRINCIPLE | MONOSTABLE EQUATIONS | MATHEMATICS | 2ND-ORDER ELLIPTIC-OPERATORS | SPATIAL HETEROGENEITY | EVOLUTION EQUATION | DIFFUSION-PROBLEMS | SPREADING SPEEDS | POPULATION-DYNAMICS | NEUMANN BOUNDARY-CONDITIONS | Functional Analysis | Analysis of PDEs | Mathematics

Journal Article

5.
Full Text
On the eigenvalues of the saddle point matrices discretized from Navier–Stokes equations

Numerical Algorithms, ISSN 1017-1398, 9/2018, Volume 79, Issue 1, pp. 41 - 64

...–Stokes equations, where the (1,1) block is nonsymmetric positive definite. In this paper, we derive the lower and upper bounds of the real and imaginary parts of all the eigenvalues of the saddle point matrices...

Navier–Stokes equations | Spectral estimates | Preconditioner | Numeric Computing | Theory of Computation | Saddle point problem | 65F50 | Algorithms | Algebra | 65F10 | Numerical Analysis | Computer Science | Nonsymmetric | 65F08 | MATHEMATICS, APPLIED | POSITIVE-DEFINITE | SYSTEMS | 2ND-ORDER PROJECTION METHOD | Navier-Stokes equations | Analysis | Numerical analysis

Navier–Stokes equations | Spectral estimates | Preconditioner | Numeric Computing | Theory of Computation | Saddle point problem | 65F50 | Algorithms | Algebra | 65F10 | Numerical Analysis | Computer Science | Nonsymmetric | 65F08 | MATHEMATICS, APPLIED | POSITIVE-DEFINITE | SYSTEMS | 2ND-ORDER PROJECTION METHOD | Navier-Stokes equations | Analysis | Numerical analysis

Journal Article

Mechanical systems and signal processing, ISSN 0888-3270, 2017, Volume 88, pp. 290 - 301

In this paper, we consider the partial quadratic eigenvalue assignment problem (PQEAP) in vibration by active feedback control...

Vibration | Partial quadratic eigenvalue assignment | System matrices | Receptance | GRADIENT FLOW | PARTIAL POLE-PLACEMENT | MINIMUM NORM | TIME-DELAY | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL

Vibration | Partial quadratic eigenvalue assignment | System matrices | Receptance | GRADIENT FLOW | PARTIAL POLE-PLACEMENT | MINIMUM NORM | TIME-DELAY | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL

Journal Article

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 10/2015, Volume 471, Issue 2182, p. 20150232

We examine a certified strategy for determining sharp intervals of enclosure for the eigenvalues of matrix differential operators with singular coefficients...

Numerical approximation of eigenvalues | Angular Kerr-Newman Dirac operator | Computation of upper and lower bounds for eigenvalues | Projection methods | VARIATIONAL-PRINCIPLES | projection methods | SPECTRAL POLLUTION | APPROXIMATION | RELATIVE SPECTRA | MULTIDISCIPLINARY SCIENCES | numerical approximation of eigenvalues | angular Kerr-Newman Dirac operator | SELF-ADJOINT OPERATORS | MATRICES | CONVERGENCE | 2ND-ORDER SPECTRA | EQUATION | computation of upper and lower bounds for eigenvalues | GEOMETRY | Mathematics - Numerical Analysis

Numerical approximation of eigenvalues | Angular Kerr-Newman Dirac operator | Computation of upper and lower bounds for eigenvalues | Projection methods | VARIATIONAL-PRINCIPLES | projection methods | SPECTRAL POLLUTION | APPROXIMATION | RELATIVE SPECTRA | MULTIDISCIPLINARY SCIENCES | numerical approximation of eigenvalues | angular Kerr-Newman Dirac operator | SELF-ADJOINT OPERATORS | MATRICES | CONVERGENCE | 2ND-ORDER SPECTRA | EQUATION | computation of upper and lower bounds for eigenvalues | GEOMETRY | Mathematics - Numerical Analysis

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 3/2017, Volume 70, Issue 3, pp. 1030 - 1041

We propose an efficient algorithm based on the Legendre–Galerkin approximations for the direct solution of the biharmonic eigenvalue problems with the boundary...

Simply supported | Computational Mathematics and Numerical Analysis | Algorithms | Biharmonic eigenvalue problems | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Clamped | Cahn–Hilliard | MATHEMATICS, APPLIED | SPECTRAL-GALERKIN METHOD | 2ND-ORDER | APPROXIMATION | Cahn-Hilliard

Simply supported | Computational Mathematics and Numerical Analysis | Algorithms | Biharmonic eigenvalue problems | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Clamped | Cahn–Hilliard | MATHEMATICS, APPLIED | SPECTRAL-GALERKIN METHOD | 2ND-ORDER | APPROXIMATION | Cahn-Hilliard

Journal Article

Discrete Mathematics, ISSN 0012-365X, 02/2017, Volume 340, Issue 2, pp. 145 - 153

Chung, Graham, and Wilson proved that a graph is quasirandom if and only if there is a large gap between its first and second largest eigenvalue...

Hypergraph | Eigenvalue | Expander | Quasirandom | MATHEMATICS | 2ND EIGENVALUE | GRAPHS

Hypergraph | Eigenvalue | Expander | Quasirandom | MATHEMATICS | 2ND EIGENVALUE | GRAPHS

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 8, pp. 2425 - 2431

In this paper, we deal with a Sturm-Liouville problem which has discontinuity at one point and contains an eigenparameter in a boundary condition. We obtain a...

Gelfand-Levitan trace formula | MATHEMATICS | 2ND-ORDER DIFFERENTIAL OPERATOR | MATHEMATICS, APPLIED | Regularized trace formula | REGULARIZED TRACE | discontinuous eigenvalue problem | EQUATION

Gelfand-Levitan trace formula | MATHEMATICS | 2ND-ORDER DIFFERENTIAL OPERATOR | MATHEMATICS, APPLIED | Regularized trace formula | REGULARIZED TRACE | discontinuous eigenvalue problem | EQUATION

Journal Article

Mechanical Systems and Signal Processing, ISSN 0888-3270, 2010, Volume 24, Issue 3, pp. 766 - 783

The partial quadratic eigenvalue assignment problem (PQEVAP) concerns reassigning a few undesired eigenvalues of a quadratic matrix pencil to suitably chosen...

Minimum norm | Robustness | Partial quadratic eigenvalue assignment | Numerical methods | Vibrating systems | DESIGN | GYROSCOPIC SYSTEMS | EIGENSTRUCTURE ASSIGNMENT | PARTIAL POLE ASSIGNMENT | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL | Mathematical optimization | Analysis

Minimum norm | Robustness | Partial quadratic eigenvalue assignment | Numerical methods | Vibrating systems | DESIGN | GYROSCOPIC SYSTEMS | EIGENSTRUCTURE ASSIGNMENT | PARTIAL POLE ASSIGNMENT | 2ND-ORDER SYSTEMS | ENGINEERING, MECHANICAL | Mathematical optimization | Analysis

Journal Article

Mechanical systems and signal processing, ISSN 0888-3270, 2017, Volume 90, pp. 254 - 267

....•Robust stabilization is made by assigning both eigenvalues and eigen-sensitivities.•Monte Carlo simulations validate that the robust stabilization method is effective...

Friction-induced vibration (FIV) | Asymmetric system | Eigen-sensitivity assignment | Receptance | Eigenvalue assignment | Monte Carlo simulation | QUADRATIC PENCIL | MODEL | TIME-DELAY | ENGINEERING, MECHANICAL | EIGENSTRUCTURE ASSIGNMENT | PLACEMENT | BRAKE SQUEAL | PARTIAL POLE ASSIGNMENT | STATE-FEEDBACK | 2ND-ORDER SYSTEMS | Monte Carlo method | Vibration | Control engineering | Analysis

Friction-induced vibration (FIV) | Asymmetric system | Eigen-sensitivity assignment | Receptance | Eigenvalue assignment | Monte Carlo simulation | QUADRATIC PENCIL | MODEL | TIME-DELAY | ENGINEERING, MECHANICAL | EIGENSTRUCTURE ASSIGNMENT | PLACEMENT | BRAKE SQUEAL | PARTIAL POLE ASSIGNMENT | STATE-FEEDBACK | 2ND-ORDER SYSTEMS | Monte Carlo method | Vibration | Control engineering | Analysis

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 07/2013, Volume 439, Issue 1, pp. 1 - 20

.... We then obtain intervals that contain only the eigenvalues of the nonlinear operator T=AF. Also, the resolvent and the spectrum of T are determined. Two examples are given to show the applications of the results.

Eigenvalue | Fixed point theorem | Nonlinear algebraic system | Monotone iterative method | Nonlinear spectrum | Positive solution | MATHEMATICS, APPLIED | NUMBER | 2ND-ORDER | SPACES | POSITIVE SOLUTIONS | DIFFERENCE-EQUATIONS | BOUNDARY-VALUE-PROBLEMS | CHEMICAL REACTOR THEORY | CHAOS

Eigenvalue | Fixed point theorem | Nonlinear algebraic system | Monotone iterative method | Nonlinear spectrum | Positive solution | MATHEMATICS, APPLIED | NUMBER | 2ND-ORDER | SPACES | POSITIVE SOLUTIONS | DIFFERENCE-EQUATIONS | BOUNDARY-VALUE-PROBLEMS | CHEMICAL REACTOR THEORY | CHAOS

Journal Article

Annali di Matematica Pura ed Applicata, ISSN 0373-3114, 4/2009, Volume 188, Issue 2, pp. 269 - 295

This paper deals with the generalized principal eigenvalue of the parabolic operator $${\mathcal{L}\phi = \partial_{t}\phi - \nabla \cdot(A(t, x)\nabla\phi) + q(t, x) \cdot \nabla\phi - \mu(t, x)\phi...

Generalized principal eigenvalue | Parabolic periodic operator | Mathematics, general | Mathematics | 35P05 | MATHEMATICS | MATHEMATICS, APPLIED | FRAGMENTED ENVIRONMENT MODEL | 2ND-ORDER ELLIPTIC-OPERATORS | INEQUALITY | EQUATIONS | PROPAGATION

Generalized principal eigenvalue | Parabolic periodic operator | Mathematics, general | Mathematics | 35P05 | MATHEMATICS | MATHEMATICS, APPLIED | FRAGMENTED ENVIRONMENT MODEL | 2ND-ORDER ELLIPTIC-OPERATORS | INEQUALITY | EQUATIONS | PROPAGATION

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2013, Volume 397, Issue 2, pp. 658 - 670

Let M be an n-dimensional compact hypersurface without boundary in a unit sphere Sn+1(1). M is called a linear Weingarten hypersurface if cR+dH+e=0, where c,d...

Linear Weingarten hypersurfaces | Scalar curvature | Stability | Eigenvalue estimates | Mean curvature | MATHEMATICS, APPLIED | CONSTANT SCALAR CURVATURE | JACOBI OPERATOR | 1ST EIGENVALUE | UNIT-SPHERE | MATHEMATICS | 2ND EIGENVALUE | MEAN-CURVATURE | SPACE-FORMS | MINIMAL HYPERSURFACES | RIEMANNIAN-MANIFOLDS | SURFACES

Linear Weingarten hypersurfaces | Scalar curvature | Stability | Eigenvalue estimates | Mean curvature | MATHEMATICS, APPLIED | CONSTANT SCALAR CURVATURE | JACOBI OPERATOR | 1ST EIGENVALUE | UNIT-SPHERE | MATHEMATICS | 2ND EIGENVALUE | MEAN-CURVATURE | SPACE-FORMS | MINIMAL HYPERSURFACES | RIEMANNIAN-MANIFOLDS | SURFACES

Journal Article

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Meshfree finite difference approximations for functions of the eigenvalues of the Hessian

Numerische Mathematik, ISSN 0029-599X, 1/2018, Volume 138, Issue 1, pp. 75 - 99

We introduce meshfree finite difference methods for approximating nonlinear elliptic operators that depend on second directional derivatives or the eigenvalues of the Hessian...

Mathematical Methods in Physics | 65N12 | 35J60 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 35J70 | Mathematical and Computational Engineering | 65N06 | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | 35J15 | NUMERICAL-METHODS | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | 2ND-ORDER | GRIDS | NONLINEAR ELLIPTIC-EQUATIONS | ALGORITHM | MONGE-AMPERE EQUATION | SCHEMES

Mathematical Methods in Physics | 65N12 | 35J60 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 35J70 | Mathematical and Computational Engineering | 65N06 | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | 35J15 | NUMERICAL-METHODS | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | 2ND-ORDER | GRIDS | NONLINEAR ELLIPTIC-EQUATIONS | ALGORITHM | MONGE-AMPERE EQUATION | SCHEMES

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 2019, Volume 581, pp. 336 - 353

Let G be a graph of order n, and let q1(G)≥q2(G)≥⋯≥qn(G) denote the signless Laplacian eigenvalues of G...

Signless Laplacian eigenvalue | Quotient matrix | Nordhaus–Gaddum type inequalities | Interlacing | MATHEMATICS | MATHEMATICS, APPLIED | SPREAD | Nordhaus-Gaddum type inequalities | 2ND LARGEST EIGENVALUE | Eigenvalues | Graphs

Signless Laplacian eigenvalue | Quotient matrix | Nordhaus–Gaddum type inequalities | Interlacing | MATHEMATICS | MATHEMATICS, APPLIED | SPREAD | Nordhaus-Gaddum type inequalities | 2ND LARGEST EIGENVALUE | Eigenvalues | Graphs

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 10/2006, Volume 267, Issue 2, pp. 419 - 449

Let L = −Δ− W be a Schrödinger operator with a potential $$W\in L^{\frac{n+1}{2}}(\mathbb{R}^n)$$ , $$n \geq 2$$ . We prove that there is no positive eigenvalue...

BODY SCHRODINGER-OPERATORS | PHYSICS, MATHEMATICAL | 2ND-ORDER ELLIPTIC-EQUATIONS | UNIQUE CONTINUATION | POSITIVE EIGENVALUES

BODY SCHRODINGER-OPERATORS | PHYSICS, MATHEMATICAL | 2ND-ORDER ELLIPTIC-EQUATIONS | UNIQUE CONTINUATION | POSITIVE EIGENVALUES

Journal Article

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Sinc approximation of eigenvalues of Sturm–Liouville problems with a Gaussian multiplier

Calcolo, ISSN 0008-0624, 9/2014, Volume 51, Issue 3, pp. 465 - 484

Eigenvalue problems with eigenparameter appearing in the boundary conditions usually have complicated characteristic determinant where zeros cannot be explicitly computed...

Sinc-Gaussian | Sampling theory | 65L15 | Numerical Analysis | 34L16 | Sinc method | Mathematics | Theory of Computation | Sturm–Liouville problems | Truncation and amplitude errors | 94A20 | 2ND-ORDER LINEAR PENCILS | MATHEMATICS | COMPUTING EIGENVALUES | BOUNDARY-CONDITIONS | Sturm-Liouville problems | PARAMETER | Normal distribution | Numerical analysis | Eigen values | Approximation | Mathematical analysis | Decay | Eigenvalues | Boundary conditions | Mathematical models | Gaussian | Sampling

Sinc-Gaussian | Sampling theory | 65L15 | Numerical Analysis | 34L16 | Sinc method | Mathematics | Theory of Computation | Sturm–Liouville problems | Truncation and amplitude errors | 94A20 | 2ND-ORDER LINEAR PENCILS | MATHEMATICS | COMPUTING EIGENVALUES | BOUNDARY-CONDITIONS | Sturm-Liouville problems | PARAMETER | Normal distribution | Numerical analysis | Eigen values | Approximation | Mathematical analysis | Decay | Eigenvalues | Boundary conditions | Mathematical models | Gaussian | Sampling

Journal Article