Open AccessComments on the Kramer Kramer Man’ko 2 × 2 matrix multiplication
Author(s) -
Martin Erik Horn
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1612/1/012014
Subject(s) - matrix multiplication , product (mathematics) , hadamard product , complement (music) , schur complement , mathematics , pure mathematics , matrix (chemical analysis) , transformation (genetics) , infinity , euclidean geometry , algebra over a field , multiplication (music) , arithmetic , hadamard transform , combinatorics , mathematical analysis , geometry , physics , eigenvalues and eigenvectors , biochemistry , chemistry , materials science , quantum mechanics , complementation , composite material , quantum , gene , phenotype
This article is a complement to a paper by Kramer et al. that proposes a new matrix product, which is like a mixture of the usual and the Hadamard (or Schur) product. This new product is then related to the transformation group in the hyperbolic plane. Actually variations in the definition of internal operations lead to an infinity of products that can be associated with any of the Euclidean, hyperbolic or elliptic geometries in quite different manners. By the way: This article is not a review. The review can be found at the end of the paper.