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In numerical mathematics, hierarchical matrices (H-matrices) [1] [2] [3] are used as data-sparse approximations of non-sparse matrices. While a sparse matrix of dimension can be represented efficiently in () units of storage by storing only its non-zero entries, a non-sparse matrix would require () units of storage, and using this type of matrices for large problems would therefore be ...
Bayesian hierarchical modeling often tries to make an inference on the covariance structure of the data, which can be decomposed into a scale vector and correlation matrix. [3] Instead of the prior on the covariance matrix such as the inverse-Wishart distribution , LKJ distribution can serve as a prior on the correlation matrix along with some ...
The general principle of hierarchical approximations consists of a repeated application of some other method, such that each consecutive application refines the quality of the approximation. Even though they can be expressed as a set of statistical assumptions, they are often described in terms of a hierarchical matrix approximation (HODLR) or ...
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; ... Hierarchical matrix; Higher spin alternating sign matrix;
First distance matrix update We then proceed to update the initial distance matrix D 1 {\displaystyle D_{1}} into a new distance matrix D 2 {\displaystyle D_{2}} (see below), reduced in size by one row and one column because of the clustering of a {\displaystyle a} with b {\displaystyle b} .
H-matrix can refer to various kinds of matrices denoted by the letter H: H-matrix, a matrix whose comparison matrix is an M-matrix; Hadamard matrix, a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal; Hamiltonian matrix, a 2n × 2n matrix A such that JA is symmetric, where J is the skew-symmetric matrix
2.82% and Jackson’s fifth at 4.63% among those who have started at least half their team’s games. (Allen started seven more games than the leader, Derek Carr.)
A block-hierarchical matrix. It consist of growing blocks placed along the diagonal, each block is itself a Parisi matrix of a smaller size. In theory of spin-glasses is also known as a replica matrix. Pentadiagonal matrix: A matrix with the only nonzero entries on the main diagonal and the two diagonals just above and below the main one.