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The [[determinant]] of a tridiagonal matrix is given by the '''[[Continuant (mathematics)|continuant]]''' of its elements.<ref>{{cite book | author=Thomas Muir | authorlink=Thomas Muir (mathematician) | title=A treatise on the theory of determinants | url=https://archive.org/details/treatiseontheory0000muir | url-access=registration | year=1960 | publisher=[[Dover Publications]] | pages=[https://archive.org/details/treatiseontheory0000muir/page/516 516–525] }}</ref>
An [[orthogonal transformation]] of a symmetric (or Hermitian) matrix to tridiagonal form can be done with the [[Lanczos algorithm]].
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