Definition of Superdiagonal. Meaning of Superdiagonal. Synonyms of Superdiagonal

Here you will find one or more explanations in English for the word Superdiagonal. Also in the bottom left of the page several parts of wikipedia pages related to the word Superdiagonal and, of course, Superdiagonal synonyms and on the right images related to the word Superdiagonal.

Definition of Superdiagonal

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Meaning of Superdiagonal from wikipedia

- In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any...
- A diagonal matrix is one whose off-diagonal entries are all zero. A superdiagonal entry is one that is directly above and to the right of the main diagonal...
- off-diagonal entry equal to 1, immediately above the main diagonal (on the superdiagonal), and with identical diagonal entries to the left and below them. Let...
- subdiagonal, and a lower Hessenberg matrix has zero entries above the first superdiagonal. They are named after Karl Hessenberg. A Hessenberg decomposition is...
- diagonal. Hence, this matrix is not diagonalizable. Since there is one superdiagonal entry, there will be one generalized eigenvector of rank greater than...
- only if T is similar to a matrix whose only nonzero entries are on the superdiagonal(this fact is used to prove the existence of Jordan canonical form)....
- diagonal, which is filled with λ {\displaystyle \lambda } and for the superdiagonal, which is composed of ones. Any block diagonal matrix whose blocks are...
- finite-dimensional case. Because there are non-zero entries on the superdiagonal, equality may be violated. The quasinilpotent operators is one class...
- diagonal elements, and two of length n − 1 containing the subdiagonal and superdiagonal elements. The discretization in space of the one-dimensional diffusion...
- eigenvalues on the leading diagonal, and either ones or zeroes on the superdiagonalknown as Jordan normal form. Some matrices are not diagonalizable...