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

Abstract: Superregular matrices have the property that all of their submatrices, which can be full rank are so. Lower triangular superregular matrices are useful for e.g., maximum distance separable ...

In the present paper, an attempt is made to obtain the degree of approximation of conjugate of functions (signals) belonging to the generalized weighted W(LP, ξ(t)), (p ≥ 1)-class, by using lower ...

ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL ...

The constrained least-squares n × n-matrix problem where the feasibility set is the subspace of the Toeplitz matrices is analyzed. The general, the upper and lower triangular cases are solved by ...

Once $A = LU$ is obtained, forward and backward substitution algorithms are used to solve the resulting triangular systems. These substitution algorithms efficiently ...