On the economical solution method for a system of linear algebraic equations

Mathematical Problems in Engineering

Volumn 2004, Issue 4, 2004, Pages 377-410

  Awrejcewicz, Jan ^a   Krysko, Vadim A ^b   Krysko, Anton V ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; LINEAR EQUATIONS; LINEARIZATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

BLOCK-DIAGONAL MATRICES; BOUNDARY ELEMENT METHODS; GAUSS REDUCTION; RELAXATION MATRIX METHODS;

LINEAR ALGEBRA;

EID: 12444333515     PISSN: 1024123X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1024123X04403093     Document Type: Article

References (8)

1. J. Awrejcewicz and V. A. Krysko, Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells, Scientific Computation, Springer-Verlag, Berlin, 2003.
2. V. I. Feodos'ev, On a method of solution of the nonlinear problems of stability of deformable systems, J. Appl. Math. Mech. 27 (1963), 392-404.
3. G. E. Forsythe and C. B. Moler, Computer Solution of Linear Algebraic Systems, Prentice-Hall, New Jersey, 1967.
4. V. A. Krysko, Nonlinear Statics and Dynamics of Non-Homogeneous Shells, Saratov State University Press, Saratov, 1976.
5. A. A. Samarskii and V. B. Andreev, Difference Methods for Elliptic Equations, Nauka, Moscow, 1976.
6. A. S. Saninskiy, Direct Method of Solution for a System of Linear Algebraic Equations with Calculated Matrix, Saratov State University Press, Saratov, 1877.
7. V. I. Shalashvili and E. B. Kusnetsov, Application of Solution along the Parameter Method and on the Best Parametrization, Editorial URSS, Moscow, 1999.
8. L. F. Vakhlaeva and V. A. Krysko, Stability of flexible shallow rectangular shells with various boundary conditions on their sides, Building and Architecture. IV, VUZ Press, Kazan, 1984, pp. 21-25.