Based on the theory of double series, we obtain a sufficient condition for the existence of strictly partial solutions to infinite systems of linear algebraic equations. We prove series expansion theorems for infinite determinants of Gaussian infinite matrices. Examples of application of the proposed condition are given.
|Number of pages||10|
|Journal||Journal of Mathematical Sciences (United States)|
|Publication status||Published - 1 Apr 2018|
- 1.01 MATHEMATICS
State classification of scientific and technological information
- 27 MATHEMATICS