Research Article

Efficient Noninteractive Outsourcing of Large-Scale QR and LU Factorizations

Algorithm 3

Generation of elementary perturbation matrix .
ā€‰Input: size
ā€‰Output:
(1)Set to be an identity matrix
(2)fordo
(3)set to be an identity matrix
(4)set to be a random real number within except 0, and
(5)set
(6)set is a random integer chosen randomly within
(7)add the element of the th and the th column in matrix to be
(8)set
(9)end for