Many tensor decompositions generalize some matrix decompositions. Several important problems can be phrased in terms of eigenvalue decompositions or singular value decompositions. Two types of tensor decompositions exist, which generalise the SVD to multi-way arrays. Here she started working on tensor decompositions of latent variable models. Quartic graphs have an even number of Hamiltonian decompositions. Handle decompositions of manifolds arise naturally via Morse theory. The right-hand sides of these relations describe the eigenvalue decompositions of the left-hand sides. Standard Unicode names and canonical decompositions are included. However, they are not precomposed characters and have neither canonical nor compatibility decompositions. The decompositions of and are made so as to maximise the covariance between and . "QR" decompositions can also be computed with a series of Givens rotations. The ideal quotient is useful for calculating primary decompositions. So far these are only the parallel and perpendicular decompositions of the vectors. He was a major contributor to algorithms for matrix decompositions. There are many different matrix decompositions; each finds use among a particular class of problems.