Spectrum (functional analysis)

Related lectures (32)

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

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

Explores the Karplus-Strong algorithm with decay and the DTFT of signals.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Explores the spectral gap in Markov chains and its impact on convergence speed.

Explores the diagonalization of symmetric matrices using eigenvectors and eigenvalues, emphasizing orthogonality and real eigenvalues.

Explores the verification of PVM properties and the spectral theorem for unbounded operators in quantum mechanics.

By Quoc Tran-Dinh explores accelerated algorithms for monotone inclusions, covering optimization models, challenges, and new algorithms.

Covers the spectrum of random functions in time and space domains.

Covers numerics for fluids, structures, and electromagnetics, emphasizing the importance of eigenvalues and eigenfunctions.