syr2k Interface
public interface syr2k
SYR2K performs one of the symmetric rank 2k operations C := alphaABT + alphaBAT + betaC, or C := alphaATB + alphaBTA + betaC, where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
Subroutines
public pure subroutine csyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| complex(kind=sp), | intent(in) | :: | beta | |||
| complex(kind=sp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine dsyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| real(kind=dp), | intent(in) | :: | beta | |||
| real(kind=dp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine ssyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| real(kind=sp), | intent(in) | :: | beta | |||
| real(kind=sp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine zsyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| complex(kind=dp), | intent(in) | :: | beta | |||
| complex(kind=dp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
Module Procedures
public pure subroutine stdlib_csyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
CSYR2K performs one of the symmetric rank 2k operations C := alphaABT + alphaBAT + betaC, or C := alphaATB + alphaBTA + betaC, where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| complex(kind=sp), | intent(in) | :: | beta | |||
| complex(kind=sp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine stdlib_dsyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
DSYR2K performs one of the symmetric rank 2k operations C := alphaABT + alphaBAT + betaC, or C := alphaATB + alphaBTA + betaC, where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| real(kind=dp), | intent(in) | :: | beta | |||
| real(kind=dp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine stdlib_ssyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
SSYR2K performs one of the symmetric rank 2k operations C := alphaABT + alphaBAT + betaC, or C := alphaATB + alphaBTA + betaC, where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| real(kind=sp), | intent(in) | :: | beta | |||
| real(kind=sp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |
public pure subroutine stdlib_zsyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
ZSYR2K performs one of the symmetric rank 2k operations C := alphaABT + alphaBAT + betaC, or C := alphaATB + alphaBTA + betaC, where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | trans | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| integer(kind=ilp), | intent(in) | :: | k | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(in) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb | |||
| complex(kind=dp), | intent(in) | :: | beta | |||
| complex(kind=dp), | intent(inout) | :: | c(ldc,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldc |