In linear algebra, a tridiagonal matrix is a band matrix that has nonzero elements on the main diagonal, the first diagonal below this, and the first diagonal above the main diagonal only. For example, the following matrix is tridiagonal: {\begin{pmatrix}1&4&0&0\\3&4&1&0\\0&2&3&4\\0&0&1&3\\\end{pmatrix}}.

What is tridiagonal matrix example?

A tridiagonal matrix is a matrix that is both upper and lower Hessenberg matrix. In particular, a tridiagonal matrix is a direct sum of p 1-by-1 and q 2-by-2 matrices such that p + q/2 = n — the dimension of the tridiagonal. ... The set of all n × n tridiagonal matrices forms a 3n-2 dimensional vector space.

What do you mean by tridiagonal matrix?

A tridiagonal matrix has nonzero elements only on the main diagonal, the diagonal upon the main diagonal, and the diagonal below the main diagonal. This special structure appears often in scientific computing and computer graphics [1, 2].