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Determinants of Block Tridiagonal Matrices

Mathematical Physics 2008-09-03 v3 math.MP Numerical Analysis

Abstract

An identity is proven that evaluates the determinant of a block tridiagonal matrix with (or without) corners as the determinant of the associated transfer matrix (or a submatrix of it).

Cite

@article{arxiv.0712.0681,
  title  = {Determinants of Block Tridiagonal Matrices},
  author = {Luca G. Molinari},
  journal= {arXiv preprint arXiv:0712.0681},
  year   = {2008}
}

Comments

8 pages, final form. To appear on Linear Algebra and its Applications

R2 v1 2026-06-21T09:50:38.015Z