.TH "slae2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
.ad l
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.SH NAME
slae2.f \- 
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBslae2\fP (A, B, C, RT1, RT2)"
.br
.RI "\fI\fBSLAE2\fP computes the eigenvalues of a 2-by-2 symmetric matrix\&. \fP"
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine slae2 (realA, realB, realC, realRT1, realRT2)"

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\fBSLAE2\fP computes the eigenvalues of a 2-by-2 symmetric matrix\&.  
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\fBPurpose: \fP
.RS 4

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.nf
 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.
.fi
.PP
 
.RE
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\fBParameters:\fP
.RS 4
\fIA\fP 
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.nf
          A is REAL
          The (1,1) element of the 2-by-2 matrix.
.fi
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.br
\fIB\fP 
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.nf
          B is REAL
          The (1,2) and (2,1) elements of the 2-by-2 matrix.
.fi
.PP
.br
\fIC\fP 
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.nf
          C is REAL
          The (2,2) element of the 2-by-2 matrix.
.fi
.PP
.br
\fIRT1\fP 
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.nf
          RT1 is REAL
          The eigenvalue of larger absolute value.
.fi
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.br
\fIRT2\fP 
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.nf
          RT2 is REAL
          The eigenvalue of smaller absolute value.
.fi
.PP
 
.RE
.PP
\fBAuthor:\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
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\fBDate:\fP
.RS 4
September 2012 
.RE
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\fBFurther Details: \fP
.RS 4

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.nf
  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.
.fi
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.RE
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.PP
Definition at line 103 of file slae2\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.