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projections of ellipsoid from 4 to 3 dimensions

Orthogonal projections of multidimensional ellipsoids – VII – experimental checks of projections from a 4-dimensional space to sub-spaces

This post series covers the topic of orthogonal projections of ellipsoids from their embedding multidimensional space down to sub-spaces. In this post we will verify some of our mathematical results by a numerical experiment: We will compute the projections of an ellipsoid from its embedding 4-dimensional (Euclidean) space down to 3- and 2-dimensional sub-spaces. We will check with the help… Read More »Orthogonal projections of multidimensional ellipsoids – VII – experimental checks of projections from a 4-dimensional space to sub-spaces

Projection of ellipsoid form 4 to 2 dimensions

Orthogonal projections of multidimensional ellipsoids – VI – considerations and vector generation for numerical experiments in four dimensions

After our recent excursion to Schur complements, some readers may wish to get a visual confirmation of our rather theoretical results. As usual in this blog, we will perform some numerical experiments. To get started, I will restrict my efforts to the projection of an ellipsoid from a 4-dimensional Euclidean space down to three- and two-dimensional sub-spaces. In a later… Read More »Orthogonal projections of multidimensional ellipsoids – VI – considerations and vector generation for numerical experiments in four dimensions