Determinants of Block Tridiagonal Matrices

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).

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

References in corpus (2)

• Spectral duality and distribution of exponents for transfer matrices of block tridiagonal Hamiltonians
• Inverse spectral analysis for finite matrix-valued Jacobi operators

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