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This œuvre, Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization, by Martin Kleinsteuber is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization


Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization
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In this work, we consider block-Jacobi methods with Newton steps in each subspace search and prove their local quadratic convergence to a local minimum with non-degenerate Hessian under some orthogonality assumptions on the search directions. Moreover, such a method is exemplified for non-unitary joint matrix diagonalization, where we present a block-Jacobi-type method on the oblique manifold with guaranteed local quadratic convergence.
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Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization
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