Research Article

Efficient Noninteractive Outsourcing of Large-Scale QR and LU Factorizations

Algorithm 2

Generation of orthogonal perturbation matrix .
ā€‰Input: size
ā€‰Output:
(1)Set to be an identity matrix
(2)Set
(3)fordo
(4)set are random integers chosen randomly in , and remove from
(5)set to be a random real number within
(6)set , ,
(7)end for
(8)take the remaining element in
(9)set