Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Spectral radius

Related lectures (32)

Quantum Mechanics: Postulates and Observables

Explains the postulates of quantum mechanics and the representation of observables by operators.

Computing leading eigenvalues of the transfer operator

Explores computing the leading eigenvalue of a transfer operator beyond periodic points, focusing on mathematical settings, spectral radius estimation, and the Zaremba Conjecture.

Jacobi Method

Presents the spectral radius of a matrix and the Jacobi method.

Error and Recursion

Explores iterative error calculation and the spectral radius significance in error analysis.

Properties of the Spectrum

Explores the properties of the spectrum of an operator in L(H), including compactness and spectral radius.

Consensus in Networked Control Systems

Explores consensus in networked control systems, covering convergence properties, normalization of eigenvectors, and rate of convergence.

Linear Operators: Basis Transformation and Eigenvalues

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Geometric Potentials and Pressure

Introduces Banach spaces for geometric potentials and pressure analysis, emphasizing equilibrium states and pressure function analyticity.

Banach Spaces and Thermodynamic Formalism

Introduces Banach spaces for maximal entropy in billiard maps, discussing spectral bounds, norms, and measure construction.

Fractal Uncertainty Principle and Spectral Gaps

Explores the Fractal Uncertainty Principle, transfer operators, spectral properties, and adapted operators.

Common Orthonormal Eigenbasis to Normal Commuting Operators

Discusses the existence of a common orthonormal eigenbasis to normal operators.

Sturm-Liouville Problem: Homogeneous Boundary Conditions Essential Role

Explores the Sturm-Liouville eigenvalue problem, emphasizing the essential role of boundary conditions in ensuring self-adjointness and forming an orthogonal basis.

Symmetric Matrices, Eigenvalues, Eigenvectors, Spectral Theorem MOOC: Linear Algebra (Part 3)

Explores symmetric matrices, eigenvalues, eigenvectors, and the spectral theorem in linear algebra.

Thermodynamic Formalism for Dispersing Billiards

Explores the thermodynamic formalism for dispersing billiards, covering topological entropy, weight functions, and fragmentation lemmas.

Subspaces, Spectra, and Projections

Explores subspaces, spectra, and projections in linear algebra, including symmetric matrices and orthogonal projections.

Iterative Methods: Linear Systems Log in to Mediaspace to watch this video

Covers iterative methods for solving linear systems and discusses convergence criteria and spectral radius.

Thomas algorithm, accuracy of direct methods Log in to Mediaspace to watch this video

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Spectral Theorem: Second Log in to Mediaspace to watch this video

Covers the spectral theorem, focusing on the second part and orthonormal sequences in a separable Hilbert space.

Matrix Diagonalization: Spectral Theorem Log in to Mediaspace to watch this video

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Advanced analysis II: local inversion theorem Log in to Mediaspace to watch this video

Covers the local inversion theorem and uniqueness of solutions in a ball around a point.