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man pages->IRIX man pages -> complib/CPODI (3)
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### Contents

```
CPODI(3F)							     CPODI(3F)

```

### NAME[Toc][Back]

```     CPODI   - CPODI computes the determinant and inverse of a certain complex
Hermitian positive	definite matrix	(see below) using the factors computed
by	CPOCO, CPOFA or	CQRDC.

```

### SYNOPSYS[Toc][Back]

```      SUBROUTINE CPODI(A,LDA,N,DET,JOB)
```

### DESCRIPTION[Toc][Back]

```     On	Entry

A COMPLEX(LDA, N)
the output  A  from CPOCO or CPOFA
or the output  X  from CQRDC.

LDA INTEGER
the leading dimension of the array  A .

N INTEGER
the order of the matrix	 A .

JOB INTEGER
= 11   both determinant	and inverse.
= 01   inverse only.
= 10   determinant only.  On Return

A If CPOCO	or CPOFA was used to factor  A	then
CPODI produces the upper half of INVERSE(A) .
If CQRDC was used to decompose	X  then
CPODI produces the upper half of INVERSE(CTRANS(X)*X)
where CTRANS(X)	is the conjugate transpose.
Elements of  A	below the diagonal are unchanged.
If the units digit of JOB is zero,  A  is unchanged.

DET REAL(2)
determinant of	A  or of  CTRANS(X)*X  if requested.
Otherwise not referenced.
Determinant = DET(1) * 10.0**DET(2)
with  1.0 .LE. DET(1) .LT. 10.0
or  DET(1) .EQ.	0.0 .  Error Condition a division by zero will occur
if	the input factor contains a zero on the	diagonal and the inverse is
requested.	 It will not occur if the subroutines are called correctly and
if	CPOCO or CPOFA has set INFO .EQ. 0 .  LINPACK.	This version dated
08/14/78 .	 Cleve Moler, University of New	Mexico,	Argonne	National Lab.
Subroutines and Functions BLAS CAXPY,CSCAL	Fortran	CONJG,MOD,REAL

PPPPaaaaggggeeee 1111```
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