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Some results about the Equiangular Algorithm

Numerical Analysis 2020-06-30 v1 Numerical Analysis

Abstract

Equiangular Algorithm generates a set of equiangular normalized vectors with given angle {\theta} using a set of linearly independence vectors in a real inner product space, which span the same subspaces. The outcome of EA on column vectors of a matrix A provides a matrix decomposition A = SR, where S is called Equiangular Matrix which has equiangular column vectors. In this paper we discuss some properties of equiangular matrices. The inverse and eigenvalue problems of these matrices are studied. Also we derive some canonical forms of some matrices based on equiangular ones.

Keywords

Cite

@article{arxiv.1612.09471,
  title  = {Some results about the Equiangular Algorithm},
  author = {Danial Sadeghi and Azim Rivaz},
  journal= {arXiv preprint arXiv:1612.09471},
  year   = {2020}
}

Comments

15 pages, 1 figures. arXiv admin note: substantial text overlap with arXiv:1412.7552