RT Journal Article ID 0aabfea62416501c A1 Lysukhin, Vladimir Ivanovich A1 Yaremchuk, Julian Fedotovich T1 THE SCHEME OF BIORTHOGONALIZATION OF VECTORS IN SOLVING THE PROBLEM OF RECTANGULAR PLATE BENDING JF TsAGI Science Journal JO TSAGI YR 2019 FD 2020-02-27 VO 50 IS 6 SP 673 OP 678 K1 method K1 plate bending K1 biorthogonalization K1 vector K1 system of linear algebraic equations (SLAE) K1 algorithm K1 matrix decomposition AB An approximate solution to the problem of bending a rectangular thin uniform plate under the application of a uniformly distributed load, the opposite sides of which are fixed and the other two sides are free, is considered. When solving this problem, a new computational scheme of solving the systems of linear algebraic equations is proposed. The procedure is based on constructing biorthogonal vectors in real vector space. As an intermediate result, a nondegenerate real matrix decomposition formula for the considered problem is obtained, which produces two triangular and diagonal matrices. It is demonstrated that for the considered example of computations, the proposed method is more accurate in comparison with the Gaussian method in relation to the main element choice. PB Begell House LK https://www.dl.begellhouse.com/journals/58618e1439159b1f,318c94f60cba937e,0aabfea62416501c.html