VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University58810.18287/2541-7533-2008-0-2(15)-175-178UnknownSolving the least squares problem using the method of an extended set of equations with sparse matrixGogolevaS. Yu.vest@ssau.ruZoteevaO. V.vest@ssau.ruSamara State Aerospace University180620087217517802062014Copyright © 2015, VESTNIK of the Samara State Aerospace University2015<p>The solution of the least squares problem is discussed. The proper least squares problem is formulated and solved using the straightforward projection method (SPM). We propose that it should be reduced to an equivalent problem of solving an extended set of linear equations (ESLE) using the corresponding SPMs modifications. We compare the SPM and the normal equations method in terms of the RAM space utilized and the number of arithmetic operations needed. The use of the methods for the general sparse matrix is discussed and a table of comparative computational efforts is given.</p>Sparse matrixextended setdirect projection methodcompletingРазреженная матрицарасширенная системапрямой проекционный методзаполнение