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A_01 CHEBYSHEV_METHOD
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PROGRAM CHEBYSHEV_METHOD IMPLICIT NONE REAL::F,G,H,TOL INTEGER::N,I REAL, DIMENSION(1000)::X PRINT*,'INPUT THE VALUE OF N:' READ*,N PRINT*,'INPUT THE TOLERANCE:' READ*,TOL X(0)=2.0 N=1 DO WHILE(N<I) X(N+1)=X(N)-(F(X(N))/G(X(N)))-(1/2)*((F(X(N))**2 * H(X(N)))/( G(X(N))**3)) IF (ABS(X(N+1)-X(N))<TOL)THEN PRINT*,'THE REAL ROOT IS:',X(N+1) STOP END IF N=N+1 END DO END PROGRAM CHEBYSHEV_METHOD REAL FUNCTION F(X) IMPLICIT NONE REAL::X F=X**3.0-2.0*X-5.0 END FUNCTION F REAL FUNCTION G(X) IMPLICIT NONE REAL::X G=3.0*X**2.0-2.0 END FUNCTION G REAL FUNCTION H(X) IMPLICIT NONE REAL::X H=6.0*X END FUNCTION H
100 0.00001
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Compilation time: 0.24 sec, absolute running time: 0.22 sec, cpu time: 0.02 sec, memory peak: 5 Mb, absolute service time: 0,64 sec
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INPUT THE VALUE OF N: INPUT THE TOLERANCE: THE REAL ROOT IS: 2.09455156