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- W129902011 abstract "This chapter discusses the solution of simultaneous equations. If the number of equations is greater than the number of unknowns, the system generally has no solution. If the number of equations is less than the number of unknowns, the system has as a rule an infinite set of solutions—to find one of the solutions it is sufficient to give arbitrary numerical values to some of the unknowns; the remaining unknowns (their number must be equal to the number of equations) then satisfy the normal system of equations, solving which, one find these unknowns. Gauss's method is a process of eliminating the unknowns in simultaneous linear equations. Gauss's method has a simple calculational scheme and requires a small amount of calculations and intermediate writing down of figures. Loss of accuracy in Gauss's method may be large. To reduce the loss of accuracy it is expedient to use one of the variants of Gauss's method, which is called the method of principal elements." @default.
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- W129902011 date "1961-01-01" @default.
- W129902011 modified "2023-09-27" @default.
- W129902011 title "SOLUTION OF SIMULTANEOUS EQUATIONS" @default.
- W129902011 doi "https://doi.org/10.1016/b978-1-4832-0064-4.50012-9" @default.
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