MATH-PHNAMPNAJun 16, 2008

Determinants of Block Tridiagonal Matrices

arXiv:0712.068184 citationsh-index: 26
Originality Synthesis-oriented
AI Analysis

Provides a theoretical result for matrix analysis, likely useful for researchers working on block tridiagonal systems.

The paper proves an identity 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.

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).

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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