## org.netlib.lapack Class SGGEV

```java.lang.Object
org.netlib.lapack.SGGEV
```

`public class SGGEVextends java.lang.Object`

```SGGEV is a simplified interface to the JLAPACK routine sggev.
This interface converts Java-style 2D row-major arrays into
the 1D column-major linearized arrays expected by the lower
level JLAPACK routines.  Using this interface also allows you
to omit offset and leading dimension arguments.  However, because
of these conversions, these routines will be slower than the low
level ones.  Following is the description from the original Fortran
source.  Contact seymour@cs.utk.edu with any questions.

*     ..
*
*  Purpose
*  =======
*
*  SGGEV computes for a pair of N-by-N real nonsymmetric matrices (A,B)

*  the generalized eigenvalues, and optionally, the left and/or right
*  generalized eigenvectors.
*
*  A generalized eigenvalue for a pair of matrices (A,B) is a scalar
*  lambda or a ratio alpha/beta = lambda, such that A - lambda*B is
*  singular. It is usually represented as the pair (alpha,beta), as
*  there is a reasonable interpretation for beta=0, and even for both
*  being zero.
*
*  The right eigenvector v(j) corresponding to the eigenvalue lambda(j)

*  of (A,B) satisfies
*
*                   A * v(j) = lambda(j) * B * v(j).
*
*  The left eigenvector u(j) corresponding to the eigenvalue lambda(j)
*  of (A,B) satisfies
*
*                   u(j)**H * A  = lambda(j) * u(j)**H * B .
*
*  where u(j)**H is the conjugate-transpose of u(j).
*
*
*  Arguments
*  =========
*
*  JOBVL   (input) CHARACTER*1
*          = 'N':  do not compute the left generalized eigenvectors;
*          = 'V':  compute the left generalized eigenvectors.
*
*  JOBVR   (input) CHARACTER*1
*          = 'N':  do not compute the right generalized eigenvectors;
*          = 'V':  compute the right generalized eigenvectors.
*
*  N       (input) INTEGER
*          The order of the matrices A, B, VL, and VR.  N >= 0.
*
*  A       (input/output) REAL array, dimension (LDA, N)
*          On entry, the matrix A in the pair (A,B).
*          On exit, A has been overwritten.
*
*  LDA     (input) INTEGER
*          The leading dimension of A.  LDA >= max(1,N).
*
*  B       (input/output) REAL array, dimension (LDB, N)
*          On entry, the matrix B in the pair (A,B).
*          On exit, B has been overwritten.
*
*  LDB     (input) INTEGER
*          The leading dimension of B.  LDB >= max(1,N).
*
*  ALPHAR  (output) REAL array, dimension (N)
*  ALPHAI  (output) REAL array, dimension (N)
*  BETA    (output) REAL array, dimension (N)
*          On exit, (ALPHAR(j) + ALPHAI(j)*i)/BETA(j), j=1,...,N, will
*          be the generalized eigenvalues.  If ALPHAI(j) is zero, then
*          the j-th eigenvalue is real; if positive, then the j-th and
*          (j+1)-st eigenvalues are a complex conjugate pair, with
*          ALPHAI(j+1) negative.
*
*          Note: the quotients ALPHAR(j)/BETA(j) and ALPHAI(j)/BETA(j)
*          may easily over- or underflow, and BETA(j) may even be zero.

*          Thus, the user should avoid naively computing the ratio
*          alpha/beta.  However, ALPHAR and ALPHAI will be always less
*          than and usually comparable with norm(A) in magnitude, and
*          BETA always less than and usually comparable with norm(B).
*
*  VL      (output) REAL array, dimension (LDVL,N)
*          If JOBVL = 'V', the left eigenvectors u(j) are stored one
*          after another in the columns of VL, in the same order as
*          their eigenvalues. If the j-th eigenvalue is real, then
*          u(j) = VL(:,j), the j-th column of VL. If the j-th and
*          (j+1)-th eigenvalues form a complex conjugate pair, then
*          u(j) = VL(:,j)+i*VL(:,j+1) and u(j+1) = VL(:,j)-i*VL(:,j+1).

*          Each eigenvector will be scaled so the largest component have
*          abs(real part)+abs(imag. part)=1.
*          Not referenced if JOBVL = 'N'.
*
*  LDVL    (input) INTEGER
*          The leading dimension of the matrix VL. LDVL >= 1, and
*          if JOBVL = 'V', LDVL >= N.
*
*  VR      (output) REAL array, dimension (LDVR,N)
*          If JOBVR = 'V', the right eigenvectors v(j) are stored one
*          after another in the columns of VR, in the same order as
*          their eigenvalues. If the j-th eigenvalue is real, then
*          v(j) = VR(:,j), the j-th column of VR. If the j-th and
*          (j+1)-th eigenvalues form a complex conjugate pair, then
*          v(j) = VR(:,j)+i*VR(:,j+1) and v(j+1) = VR(:,j)-i*VR(:,j+1).

*          Each eigenvector will be scaled so the largest component have
*          abs(real part)+abs(imag. part)=1.
*          Not referenced if JOBVR = 'N'.
*
*  LDVR    (input) INTEGER
*          The leading dimension of the matrix VR. LDVR >= 1, and
*          if JOBVR = 'V', LDVR >= N.
*
*  WORK    (workspace/output) REAL array, dimension (LWORK)
*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*
*  LWORK   (input) INTEGER
*          The dimension of the array WORK.  LWORK >= max(1,8*N).
*          For good performance, LWORK must generally be larger.
*
*          If LWORK = -1, then a workspace query is assumed; the routine
*          only calculates the optimal size of the WORK array, returns
*          this value as the first entry of the WORK array, and no error
*          message related to LWORK is issued by XERBLA.
*
*  INFO    (output) INTEGER
*          = 0:  successful exit
*          < 0:  if INFO = -i, the i-th argument had an illegal value.
*          = 1,...,N:
*                The QZ iteration failed.  No eigenvectors have been
*                calculated, but ALPHAR(j), ALPHAI(j), and BETA(j)
*                should be correct for j=INFO+1,...,N.
*          > N:  =N+1: other than QZ iteration failed in SHGEQZ.
*                =N+2: error return from STGEVC.
*
*  =====================================================================
*
*     .. Parameters ..
```

Constructor Summary
`SGGEV()`

Method Summary
`static void` ```SGGEV(java.lang.String jobvl, java.lang.String jobvr, int n, float[][] a, float[][] b, float[] alphar, float[] alphai, float[] beta, float[][] vl, float[][] vr, float[] work, int lwork, intW info)```

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### SGGEV

`public SGGEV()`
Method Detail

### SGGEV

```public static void SGGEV(java.lang.String jobvl,
java.lang.String jobvr,
int n,
float[][] a,
float[][] b,
float[] alphar,
float[] alphai,
float[] beta,
float[][] vl,
float[][] vr,
float[] work,
int lwork,
intW info)```