pub/linpack/index

Netlib Index for LINPACK
Netlib Index for LINPACK
NOTE:
1.  Entries are arranged in alphabetical order by the real routine name.
(If you are looking for a specific complex Hermitian routine, you
will find it listed with its real symmetric equivalent.)
2.  Specifications for pairs of real and complex routines have been
merged.  In a few cases, specifications of three routines have been
merged, one for real symmetric, one for complex symmetric, and one
for complex Hermitian matrices.
3.  Specifications are given only for single precision routines.  To
adapt them for the double precision version of the software, simply
interpret REAL as DOUBLE PRECISION and COMPLEX and COMPLEX*16 (or
DOUBLE COMPLEX).

file: linpack/readme
for: README file for LINPACK
lib: linpack/chk (index) (tar)
for: test drivers for LINPACK
file: linpack/schdc.f
file: linpack/dchdc.f
file: linpack/cchdc.f

file: linpack/zchdc.f

gams: D2b1b

for: computes the Cholesky decomposition of a positive definite matrix,

a pivoting option allows the user to estimate the condition of a
positive definite matrix or determine the rank of a positive
semidefinite matrix

prec: single, double, complex, double complex

file: linpack/schdd.f
file: linpack/dchdd.f
file: linpack/cchdd.f
file: linpack/zchdd.f
gams: D7b
for: downdates an augmented Cholesky decomposition or the triangular
```
factor of an augmented QR decomposition
```
prec: single, double, complex, double complex
file: linpack/schex.f
file: linpack/dchex.f
file: linpack/cchex.f
file: linpack/zchex.f
gams: D7b
for: updates the Cholesky factorization
prec: single, double, complex, double complex
file: linpack/schud.f
file: linpack/dchud.f
file: linpack/cchud.f
file: linpack/zchud.f
gams: D7b
for: updates an augmented Cholesky decomposition or the triangular
```
part of an augmented QR decomposition
```
prec: single, double, complex, double complex
file: linpack/sgbco.f
file: linpack/dgbco.f
file: linpack/cgbco.f
file: linpack/zgbco.f
gams: D2a2, D2c2
for: factors a real/complex band matrix by Gaussian elimination and
```
estimates the condition number of the matrix
```
prec: single, double, complex, double complex
file: linpack/sgbdi.f
file: linpack/dgbdi.f
file: linpack/cgbdi.f
file: linpack/zgbdi.f
gams: D3a2, D3c2
for: computes the determinant of a band matrix using the factors
```
computed by (linpack/_gbco) or (linpack/_gbfa), if the inverse
is needed use (linpack/_gbsl) n times
```
prec: single, double, complex, double complex
file: linpack/sgbfa.f
file: linpack/dgbfa.f
file: linpack/cgbfa.f
file: linpack/zgbfa.f
gams: D2a2, D2c2
for: factors a band matrix by elimination
prec: single, double, complex, double complex
file: linpack/sgbsl.f
file: linpack/dgbsl.f
file: linpack/cgbsl.f
file: linpack/zgbsl.f
gams: D2a2, D2c2
for: solves the real/complex band system Ax = b or trans(A)x = b using
```
the factors computed by (linpack/_gbco) or (linpack/_gbfa)
```
prec: single, double, complex, double complex
file: linpack/sgeco.f
file: linpack/dgeco.f
file: linpack/cgeco.f
file: linpack/zgeco.f
gams: D2a1, D2c1
for: factors a matrix by Gaussian elimination and estimates the
```
condition number of the matrix
```
prec: single, double, complex, double complex
file: linpack/sgedi.f
file: linpack/dgedi.f
file: linpack/cgedi.f
file: linpack/zgedi.f
gams: D3a1,D2a1, D2c1, D3c1
for: computes the determinant and inverse of a matrix using the
```
factors computed by (linpack/_geco) or (linpack/_gefa)
```
prec: single, double, complex, double complex
file: linpack/sgefa.f
file: linpack/dgefa.f
file: linpack/cgefa.f
file: linpack/zgefa.f
gams: D2a1, D2c1
for: factors a real/complex matrix by Gaussian elimination
prec: single, double, complex, double complex
file: linpack/sgesl.f
file: linpack/dgesl.f
file: linpack/cgesl.f
file: linpack/zgesl.f
gams: D2a1, D2c1
for: solves the real/complex system Ax = b or trans(A)x = b using
```
the factors computed by (linpack/_geco) or (linpack/_gefa)
```
prec: single, double, complex, double complex
file: linpack/sgtsl.f
file: linpack/dgtsl.f
file: linpack/cgtsl.f
file: linpack/zgtsl.f
gams: D2a2a, D2c2a
for: given a general tridiagonal matrix and a right hand side will
```
find the solution
```
prec: single, double, complex, double complex
file: linpack/spbco.f
file: linpack/dpbco.f
file: linpack/cpbco.f
file: linpack/zpbco.f
gams: D2b2, D2d2
for: factors a real/complex symmetric positive definite matrix stored
```
in band form and estimates the condition of the matrix
```
prec: single, double, complex, double complex
file: linpack/spbdi.f
file: linpack/dpbdi.f
file: linpack/cpbdi.f
file: linpack/zpbdi.f
gams: D3b2, D3d2
for: computes the determinant of a real/complex symmetric positive
```
definite band matrix using the factors computed by (linpack/_pbco)
or (linpack/_pbfa), if the inverse is needed use (linpack/dpbsl)
n times
```
prec: single, double, complex, double complex
file: linpack/spbfa.f
file: linpack/dpbfa.f
file: linpack/cpbfa.f
file: linpack/zpbfa.f
gams: D2b2, D2d2
for: factors a real/complex symmetric positive definite matrix stored
```
in band form
```
prec: single, double, complex, double complex
file: linpack/spbsl.f
file: linpack/dpbsl.f
file: linpack/cpbsl.f
file: linpack/zpbsl.f
gams: D2b2, D2d2
for: solves the real/complex symmetric positive definite band system
```
Ax = b using the factors computed by (linpack/_pbco) or (linpack/_pbfa)
```
prec: single, double, complex, double complex
file: linpack/spoco.f
file: linpack/dpoco.f
file: linpack/cpoco.f
file: linpack/zpoco.f
gams: D2b1b, D2d1b
for: factors a real/complex symmetric positive definite matrix and
```
estimates the condition number of the matrix
```
prec: single, double, complex, double complex
file: linpack/spodi.f
file: linpack/dpodi.f
file: linpack/cpodi.f
file: linpack/zpodi.f
gams: D2b1b,D3b1b, D2d1b, D3d1b
for: computes the determinant and inverse of a certain real/complex
```
symmetric positive definite matrix using the factors computed by
(linpack/_poco), (linpack/_pofa) or (linpack/_qrdc)
```
prec: single, double, complex, double complex
file: linpack/spofa.f
file: linpack/dpofa.f
file: linpack/cpofa.f
file: linpack/zpofa.f
gams: D2b1b, D2d1b
for: factors a real/complex symmetric positive definite matrix
prec: single, double, complex, double complex
file: linpack/sposl.f
file: linpack/dposl.f
file: linpack/cposl.f
file: linpack/zposl.f
gams: D2b1b, D2d1b
for: solves the real/complex symmetric positive definite system
```
Ax = b using the factors computed by (linpack/_poco) or
(linpack/_pofa)
```
prec: single, double, complex, double complex
file: linpack/sppco.f
file: linpack/dppco.f
file: linpack/cppco.f
file: linpack/zppco.f
gams: D2b1b, D2d1b
for: factors a real/complex symmetric positive definite matrix stored
```
in packed form and estimates the condition number of the matrix
```
prec: single, double, complex, double complex
file: linpack/sppdi.f
file: linpack/dppdi.f
file: linpack/cppdi.f
file: linpack/zppdi.f
gams: D2b1b,D3b1b, D2d1b, D3d1b
for: computes the determinant and inverse of a real/complex symmetric
```
positive definite matrix using the factors computed by
(linpack/_ppco) or (linpack/_ppfa)
```
prec: single, double, complex, double complex
file: linpack/sppfa.f
file: linpack/dppfa.f
file: linpack/cppfa.f
file: linpack/zppfa.f
gams: D2b1b, D2d1b
for: factors a real/complex symmetric positive definite matrix stored
```
in packed form
```
prec: single, double, complex, double complex
file: linpack/sppsl.f
file: linpack/dppsl.f
file: linpack/cppsl.f
file: linpack/zppsl.f
gams: D2b1b, D2d1b
for: solves the real/complex symmetric positive definite system
```
Ax = b using the factors computed by (linpack/_ppco) or
(linpack/_ppfa)
```
prec: single, double, complex, double complex
file: linpack/sptsl.f
file: linpack/dptsl.f
file: linpack/cptsl.f
file: linpack/zptsl.f
gams: D2b2a, D2d2a
for: given a positive definite tridiagonal matrix and a right hand
```
side will find the solution
```
prec: single, double, complex, double complex
file: linpack/sqrdc.f
file: linpack/dqrdc.f
file: linpack/cqrdc.f
file: linpack/zqrdc.f
gams: D5
for: uses Householder transformations to compute the QR factorization,
```
column pivoting based on the 2-norms of the reduced columns may
be performed at the user's option
```
prec: single, double, complex, double complex
file: linpack/sqrsl.f
file: linpack/dqrsl.f
file: linpack/cqrsl.f
file: linpack/zqrsl.f
gams: D2a1, D9a1, D2c1
for: applies the output of (linpack/_qrdc) to compute coordinate
```
transformations, projections, and least squares solutions
```
prec: single, double, complex, double complex
file: linpack/ssico.f
file: linpack/dsico.f
file: linpack/csico.f
file: linpack/zsico.f
file: linpack/chico.f
file: linpack/zhico.f
gams: D2b1a, D2c1, D2d1a
for: factors a real/complex/complex symmetric/symmetric/Hermitian matrix
```
by elimination with symmetric pivoting and estimates the condition
number of the matrix
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/ssidi.f
file: linpack/dsidi.f
file: linpack/csidi.f
file: linpack/zsidi.f
file: linpack/chidi.f
file: linpack/zhidi.f
gams: D2b1a, D3b1a, D2c1, D3c1, D2d1a, D3d1a
for: computes the determinant, inertia and inverse of a
```
real/complex/complex symmetric/symmetric/Hermitian matrix using
the factors from (linpack/_sifa or _hifa)
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/ssifa.f
file: linpack/dsifa.f
file: linpack/csifa.f
file: linpack/zsifa.f
file: linpack/chifa.f
file: linpack/zhifa.f
gams: D2b1a, D2c1, D2d1a
for: factors a real/complex/complex symmetric/symmetric/Hermitian matrix
```
by elimination with symmetric pivoting
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/ssisl.f
file: linpack/dsisl.f
file: linpack/csisl.f
file: linpack/zsisl.f
file: linpack/chisl.f
file: linpack/zhisl.f
gams: D2b1a, D2c1, D2d1a
for: solves the real/complex/complex symmetric/symmetric/Hermitian
```
system Ax = b using the factors computed by (linpack/_sifa or
_hifa)
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/sspco.f
file: linpack/dspco.f
file: linpack/cspco.f
file: linpack/zspco.f
file: linpack/chpco.f
file: linpack/zhpco.f
gams: D2b1a, D2c1, D2d1a
for: factors a real/complex/complex symmetric/symmetric/Hermitian matrix
```
stored in packed form by elimination with symmetric pivoting and
estimates the condition number of the matrix
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/sspdi.f
file: linpack/dspdi.f
file: linpack/cspdi.f
file: linpack/zspdi.f
file: linpack/chpdi.f
file: linpack/zhpdi.f
gams: D2b1a, D3b1a, D2c1, D3c1, D2d1a, D3d1a
for: computes the determinant, inertia and inverse of a
```
real/complex/complex symmetric/symmetric/Hermitian matrix using
the factors from (linpack/_spfa or _hpfa), where the matrix is
stored in packed form
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/sspfa.f
file: linpack/dspfa.f
file: linpack/cspfa.f
file: linpack/zspfa.f
file: linpack/chpfa.f
file: linpack/zhpfa.f
gams: D2b1a, D2c1, D2d1a
for: factors a real/complex/complex symmetric/symmetric/Hermitian matrix
```
stored in packed form by elimination with symmetric pivoting
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/sspsl.f
file: linpack/dspsl.f
file: linpack/cspsl.f
file: linpack/zspsl.f
file: linpack/chpsl.f
file: linpack/zhpsl.f
gams: D2b1a, D2c1, D2d1a
for: solves the real/complex/complex symmetric/symmetric/Hermitian
```
system Ax = b using the factors computed by (linpack/_spfa or
_hpfa)
```
prec: single, double, complex, double complex; complex, double complex
file: linpack/ssvdc.f
file: linpack/dsvdc.f
file: linpack/csvdc.f
file: linpack/zsvdc.f
gams: D6
for: reduces a real/complex matrix to diagonal form by orthogonal/unitary
```
transformations
```
prec: single, double, complex, double complex
file: linpack/strco.f
file: linpack/dtrco.f
file: linpack/ctrco.f
file: linpack/ztrco.f
gams: D2a3, D2c3
for: estimates the condition number of a triangular matrix
prec: single, double, complex, double complex
file: linpack/strdi.f
file: linpack/dtrdi.f
file: linpack/ctrdi.f
file: linpack/ztrdi.f
gams: D2a3,D3a3, D2c3, D3c3
for: computes the determinant and inverse of a triangular matrix
prec: single, double, complex, double complex
file: linpack/strsl.f
file: linpack/dtrsl.f
file: linpack/ctrsl.f
file: linpack/ztrsl.f
gams: D2a3, D2c3
for: solves systems of the form Tx = b or trans(T)x = b where T is
```
a triangular matrix of order n, trans(T) denotes the transpose 
of the matrix T
```
prec: single, double, complex, double complex
glossary/thesaurus of terms used in this index

Eric and Jack