Determinants of multidiagonal matrices

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Katarzyna Filipiak
Augustyn Markiewicz
Aneta Sawikowska


The formulas presented in [Molinari, L.G. Determinants of block tridiagonal matrices. Linear Algebra Appl., 2008; 429, 2221–2226] for evaluating the determinant of block tridiagonal matrices with (or without) corners are used to derive the determinant of any multidiagonal matrices with (or without) corners with some specified non-zero minors. Algorithms for calculation the determinant based on this method are given and properties of the determinants are studied. Some applications are presented.

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