# tridiagonal matrix

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## tridiagonal matrix

[¦trī·dī′ag·ən·əl ′mā·triks]
(mathematics)
A square matrix in which all entries other than those on the principal diagonal and the two adjacent diagonals are zero.
References in periodicals archive ?
Before constructing the homotopy function, the symmetric square matrix B should be transformed to the symmetric tridiagonal matrix A by the Householder transformation [20].
Realizations of this method for symmetric tridiagonal matrix can be found, for instance, in the monograph [9, Section 8.
The coefficient matrix [M] is not a tridiagonal matrix, so it cannot be solved with the efficient forward-elimination and backward- substitution method directly.
Above algebraic equations are in tridiagonal matrix form which is solved by using LU decomposition in the present work.
For example, Deift and Nanda [4] discussed an inverse eigenvalue problem of a tridiagonal matrix under a submatrix constraint; Peng and Hu [16] considered an inverse eigenpair problem of a Jacobi matrix under a leading principal submatrix constraint; Peng and Hu [17] studied a inverse problem of bi-symmetric matrices with a leading principal submatrix constraint, for more we refer the reader to [6, 12, 24].
The terms of the matrix K is a tridiagonal matrix of 2 x 2 submatrices and the determinant can be easy evaluated for any value of k and a fixed [omega].
1999] are designed to find all the eigenvalues of a symmetric tridiagonal matrix in a specified interval.
When A is symmetric or Hermitian, the Arnoldi process reduces to the Lanczos algorithm, in which the matrix H is a symmetric tridiagonal matrix.
If B2 = 1 then, on exit, the main diagonal and the subdiagonal of the resulting tridiagonal matrix [A.
m+1,m] is a symmetric tridiagonal matrix, and if [mu] is an eigenvalue of [B.
with a tridiagonal matrix B with 2's on the diagonal and -1's on the subdiagonals and C is a matrix with all entries zero except for a 1 in the lower left corner.
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