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Divide-and-conquer eigenvalue algorithm
Formal sciences
Mathematics
Algebra
Linear algebra
Related lectures (29)
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Instability in thermal convection
Explores instability in thermal convection, finite difference methods, and Marangoni convection patterns.
Stability Analysis of Shear Flows
Explores the stability analysis of shear flows, emphasizing conditions for flow instability and the impact of varying temperature profiles.
Diagonalization Techniques: Jacobi Method
Covers the Jacobi method, Givens rotation, QR decomposition, and diagonalization techniques in computational physics.
Shells I: Mechanics of Slender Structure
Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.
Finite element method in heat transfer
Explores the finite element method in heat transfer, including solving eigenvalue problems and practical exercises on vibration modes.
Linear Independence, Eigenvector Basis
Discusses linear independence and eigenvector bases in linear algebra.
Matrix Similarity: Diagonalization Rules
Explores matrix similarity and diagonalization rules, emphasizing eigenvectors and distinct eigenvalues.
Diagonalisation: Theorem and Demonstration
Explores diagonalization conditions, bases by eigenvectors, and generalization of concepts.
Diagonalization Cream: Distinct Eigenvalues
Covers the diagonalization of matrices with distinct eigenvalues and the importance of this process.
Kelvin-Helmholtz and Rayleigh Taylor Instabilities
Explores Kelvin-Helmholtz and Rayleigh Taylor instabilities, kinematic conditions, linearized equations, and normal mode expansion.