ISSN 2079-8490

Electronic scientific journal "Scientists notes PNU"

Pacific national university

Manakov V. M.

ESTIMATES OF THE ERROR OF MEASUREMENT OF THE ELEMENTS OF THE MATRIX OF A SYSTEM OF LINEAR ALGEBRAIC EQUATIONS WITH APPROXIMATE COEFFICIENTS AND ERRORS OF CALCULATION OF THE ELEMENTS OF THE INVERSE

For solutions of systems of linear algebraic equations, the estimate of the number of decimal places, providing a given level of the residual, was re-fined. The estimate of the number of coinciding decimal places for approximate solutions with the same level of discrepancy is refined. New estimates received

Keywords: system of linear algebraic equations, limit error of data, discrepancy, admissible solution, number of decimal places, number of valid signs, number of doubtful signs, rounding of the solution, admissible variation of the system matrix, admissible variation of the inverse matrix