Wilkinson, J.H. and Reinsch, C. (1971) Handbook for Automatic Computation (II) Linear Algebra. Springer Verlag.

has been cited by the following article:

• TITLE: Definition and Properties of a Vector-Matrix Reversal Operator

  AUTHORS: Ramon Carbó-Dorca

  KEYWORDS: Reversal Operator, Reverse of a Vector, Reverse of a Matrix, Reversal Invariance, Reversal Matrix, Linear Algebra, Programming Techniques

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.2, February 28, 2025

  ABSTRACT: An in-depth description of an apparently forgotten matrix operation, the reversal operator, is developed. The properties of such an operation are also given, resulting in a new vector-matrix operation resembling the well-known ones of conjugation, transposition, and inversion. The reversal operator operates by ordering the object components where applied. Reversal is easy to perform as it is distributive regarding the vector sum and matrix product. Supplementary descriptions of matrix regions not often used in linear algebra, like the anti-diagonal concept, are also discussed. Some practical problems are given.