ylätriagonaalinen
Ylätriagonaalinen is a Finnish term that translates to "upper triangular" in English, primarily used in the context of linear algebra and matrix theory. A square matrix is considered ylätriagonaalinen if all the elements below the main diagonal are zero. The main diagonal consists of the elements where the row index equals the column index. For a matrix A with dimensions n x n, an element A_ij is on the main diagonal if i = j. The condition for a matrix to be ylätriagonaalinen is that A_ij = 0 for all i > j.
Matrices that are ylätriagonaalinen have a specific structure where all entries in the lower-left portion are
The concept of ylätriagonaalinen matrices is fundamental in understanding matrix decompositions, such as LU decomposition, where