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Momentum and Its Conservation

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... alternative to the easily analyzed exact deflation (see, e.g., [1]), to our best knowledge this is the first result to rigorously bound how much small perturbations can slow the convergence of exact deflation preconditioners. Other approximately applied preconditioners could be similarly analyzed. Simo ...
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Document
Document

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Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.
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