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5 219 (0,162s) •

Result

Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials

Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalue...

Applied mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

Ruled strips with asymptotically diverging twisting

We consider the Dirichlet Laplacian in a two-dimensional strip composed of segments translated along a straight line with respect to a rotation angle with velocity diverging at infinity. We show that this model exhibits a “raise of dimension...

Applied mathematics

  • 2018
    • •
  • Jost
    • •
  • Link
Result

Stochastic gradient learning and instability: an example

dynamics in a very large region, real-time learning diverges for all but the very learning, because its Jacobian contains stable but very small eigenvalues. We also express caution on usage of perpetual learning algorithms with suc...

AH - Ekonomie

  • 2016
    • •
  • Jx
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  • Link
Result

An Eigenvalue Symmetric Matrix Contractor

We propose an eigenvalue contractor for symmetric matrices. Given a symmetric interval matrix A and an interval approximation of its eigenvalue sets the contractor reduces the entries of A such that no matrix with eigenvalues

BD - Teorie informace

  • 2011
    • •
  • Jx
Result

Estimates of the principal eigenvalue of the p-Laplacian

We provide estimates from below and from above for the principal eigenvalue of the p-Laplacian on a bounded domain. We apply these estimates to study the asymptotic behavior of the principal eigenvalue for p ? +oo....

BA - Obecná matematika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval

We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit behavior of ratios of primitive fu...

BA - Obecná matematika

  • 2013
    • •
  • Jx
    • •
  • Link
Result

On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type

We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present-Fischerminimaxprinciple in the linear case. At the end we presen...

BA - Obecná matematika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional p-Laplacian

We establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential....

BA - Obecná matematika

  • 2010
    • •
  • Jx
Result

Optimal Control Systems with Prescribed Eigenvalues

The eigenvalues of a linear and time-invariant control system can be located at desired positions either directly, using eigenvalue assignment techniques inducesa certain eigenvalue pattern, depending on the performance ind...

BC - Teorie a systémy řízení

  • 2010
    • •
  • D
Result

An oscillation theorem for discrete eigenvalue problem

Eigenvalue problems for symplectic difference systems are considered. The main result of the paper, an oscillation theorem, relates the number of eigenvalues to the number of generalized zeros of solutions....

BA - Obecná matematika

  • 2003
    • •
  • Jx
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