"This notebook walks you through how to implement $ x := U x $ where $ U $ is upper triangular. Vector $ y $ is not to be touched (and, indeed, not even passed into the routines). This is a little ...

Abstract: First, the paper gives the definition of the strongly row (column) full rank matrix, the quasi-upper triangular matrix and the quasi-lower triangular matrix of the m × n matrix. Then the ...

Here, A is square matrix of coefficients , x is column matrix of variables.Then we decompose A as multiplication between lower triangular matrix L and upper triangular matrix U. So, Ax=b implies LUx=b ...

Sufficient conditions are given for a real matrix to be similar to a positive matrix. This result is used to construct a similarity transformation which, when applied to a particular upper triangular ...