OPTIKA ATMOSFERY I OKEANA JOURNAL
V.E. ZUEV INSTITUTE OF ATMOSPHERIC OPTICS
Vol. 9, issue 07, article # 17
pdf Fabrikov A. V. SVD algorithm for problem of detection and ranging of ground-based optical radiation sources with a satellite system. // Atmospheric and oceanic optics. 1996. V. 9. No. 07. P. 651-655.Copy the reference to clipboard
Abstract:
In relation to a general problem of detection and ranging of ground-based sources from satellites, modern approaches to a solution of overdetermined set of linear equations are discussed for the case of random errors in determination of their left and right sides. The singular expansion algorithm is widely used in these approaches and the total least-squares method (TLSM) that implements this algorithm and linearizes the Frobenius norm of an extended matrix used to compensate for the errors. Computational aspects of the TLSM inadequately covered in Russian literature and field of its applications are outlined.