Numerical Algorithms on the Affine Grassmannian
Volume: 40, Issue: 2, Pages: 371 - 393
Published: Jan 1, 2019
Abstract
The affine Grassmannian is a noncompact smooth manifold that parameterizes all affine subspaces of a fixed dimension. It is a natural generalization of Euclidean space, points being zero-dimensional affine subspaces. We will realize the affine Grassmannian as a matrix manifold and extend Riemannian optimization algorithms including steepest descent, Newton method, and conjugate gradient, to real-valued functions on the affine Grassmannian. Like...
Paper Details
Title
Numerical Algorithms on the Affine Grassmannian
Published Date
Jan 1, 2019
Volume
40
Issue
2
Pages
371 - 393
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