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Advanced Determinant Calculus

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abstract

The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research. Second, it lists a number of such determinants that have been already evaluated, together with explanations which tell in which contexts they have appeared. Third, it points out references where further such determinant evaluations can be found.

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math.PR 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Toeplitz Determinants and Admissible Correlation Intervals

math.PR · 2026-06-23 · unverdicted · novelty 5.0

Derives determinantal formula for admissible correlation interval widths via Desnanot-Jacobi identity on Toeplitz matrices, recovering Schneider & Hartlap (2009) product expressions.

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  • Toeplitz Determinants and Admissible Correlation Intervals math.PR · 2026-06-23 · unverdicted · none · ref 1 · internal anchor

    Derives determinantal formula for admissible correlation interval widths via Desnanot-Jacobi identity on Toeplitz matrices, recovering Schneider & Hartlap (2009) product expressions.