A new paradigm in a theory of linear incorrect problems adequate to requests of geophysical practice. V. New extreme principles and transformations of Systems of Linear Algebraic equations (SLAE)
© V.N. Strakhov
Generalizations of two main productive ideas of computational linear algebra have been given:
 the ideas of application, in case of redetermined systems of linear algebraic equations, the smallest squares principle;
 the ideas of application, in case of the systems of linear algebraic equations with rectangular matrices, the socalled Gauss transformations  the first one in the cases of redetermined SLAE, the second one in the cases of SLAE which is incompletely determined. Final conclusions have been given according to materials of the first five parts of the work.
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