Geodesic
System of linear equations
Applications of Mathematics, Tome 21 (1976) no. 6, pp. 424-430
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The paper describes a method of solving the system of linear algebraic equations with a real rectangular matrix. The method is based on the use of the Gram-Schmidt orthogonalization. The solution is found in the form $x=x_p+y$, $x_p$ being a particular solution of the system while $y$ belongs to the space of solutions of the corresponding homogeneous system.
The paper describes a method of solving the system of linear algebraic equations with a real rectangular matrix. The method is based on the use of the Gram-Schmidt orthogonalization. The solution is found in the form $x=x_p+y$, $x_p$ being a particular solution of the system while $y$ belongs to the space of solutions of the corresponding homogeneous system.
DOI : 10.21136/AM.1976.103666
Classification : 15A06, 65F05 
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Arora, J. L. System of linear equations. Applications of Mathematics, Tome 21 (1976) no. 6, pp. 424-430. doi: 10.21136/AM.1976.103666

[1] K. Hoffman R. Kunze: Linear Algebra. (2nd ed.), Prentice Hall of India (1972). | MR

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