Latest Articles for Eigenvalues

Study of energy levels reveals chaos in quantum systems with disorder.

A look at the Helmholtz equation and Newtonian potential in wave analysis.

An overview of Pennington-Worah matrices and their implications in various fields.

Examining the role of random matrices in various fields through eigenvalue analysis.

Learn how the filtered Lanczos procedure enhances eigenvalue calculations using GPUs.

Exploring eigenvalues and computational techniques for nuclear reactor criticality management.

A look at quotient iteration for faster eigenvalue problem solving.

A deeper look at ICS for effective data analysis across multiple groups.

Explore the significance of integral Cayley graphs in mathematics.

A dive into the Dirac operator and its eigenvalues through perturbations.

Exploring the fascinating world of harmonic oscillators and their extensions.

A look into the behavior of damped waves in specific geometric spaces.

A look at operators and their role in math and science.

A look at nonnormal matrices, their properties, and real-world implications.

Discover Hořava gravity and its unique perspective on gravitational forces.

Explore how circulant graphs model friendships and connections in a unique way.

A look at how the Bethe-Hessian matrix aids in community detection.

Exploring the significance of eigenvalues and eigenvectors in engineering and physics.

An exploration of word counting techniques and their fascinating connections.

A look into how endomorphisms affect shapes and behaviors.

Explore the significance of random matrices in various fields of study.

A look into complex frequency fingerprints and their role in non-Hermitian systems.

A simplified look into magnetic tunneling and disc-shaped obstacles.

Explore the intriguing link between random matrices and Calogero models in physics.

A look into how weight matrices influence machine learning models.

A dive into the unique behaviors of the Kitaev chain in quantum mechanics.

A look at the connections between groups, geometry, and Anosov representations.

Exploring how eigenvalue bounds affect physical systems in mathematics.

A look into the behaviors of solitons when mixed with randomness.

A look into how random matrices help explain complex systems.

Exploring how RQR outperforms traditional QR algorithms in finding eigenvalues.

A look into Gaussian trace estimators and their applications in statistics.

Learn how Krylov methods help estimate numerical ranges of matrices.

Discover the role of radially-compressed Toeplitz operators in mathematics and applications.

Investigating how generative models might memorize data and its implications.

Exploring optimal shapes for material performance in elasticity theory.

Discover the unexpected behavior of heat in convex shapes.

Balancing speed and accuracy in large systems of equations.

Explore how reduced order modeling streamlines eigenvalue problem solutions.

Uncovering the intriguing eigenvalues and spectral edges of regular graphs.