LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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subroutine slae2 | ( | real | a, |
real | b, | ||
real | c, | ||
real | rt1, | ||
real | rt2 | ||
) |
SLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix.
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SLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix [ A B ] [ B C ]. On return, RT1 is the eigenvalue of larger absolute value, and RT2 is the eigenvalue of smaller absolute value.
[in] | A | A is REAL The (1,1) element of the 2-by-2 matrix. |
[in] | B | B is REAL The (1,2) and (2,1) elements of the 2-by-2 matrix. |
[in] | C | C is REAL The (2,2) element of the 2-by-2 matrix. |
[out] | RT1 | RT1 is REAL The eigenvalue of larger absolute value. |
[out] | RT2 | RT2 is REAL The eigenvalue of smaller absolute value. |
RT1 is accurate to a few ulps barring over/underflow. RT2 may be inaccurate if there is massive cancellation in the determinant A*C-B*B; higher precision or correctly rounded or correctly truncated arithmetic would be needed to compute RT2 accurately in all cases. Overflow is possible only if RT1 is within a factor of 5 of overflow. Underflow is harmless if the input data is 0 or exceeds underflow_threshold / macheps.
Definition at line 101 of file slae2.f.