reference/strti2f.f · 三字经/OpenBLAS

代码拉取完成,页面将自动刷新

richgiteeai

Watch

不关注关注所有动态仅关注版本发行动态关注但不提醒动态

1 Star 0 Fork 0

三字经/OpenBLAS

代码 Issues 0 Pull Requests 0 Wiki 统计流水线

服务

加入 Gitee

与超过 1400万开发者一起发现、参与优秀开源项目,私有仓库也完全免费 :)

免费加入

已有帐号? 立即登录

文件

develop

分支 (57)

标签 (69)

管理

develop

gh-pages

release-0.3.0

issue5267

revert-5565-jn/makefile-rule-dynamic

revert-5643-neov2_param

revert-5479-forklock

revert-4741-Pthread_Scalability_Improvement

gemm_batch

revert-5180-openmp_use_cmake

revert-5251-issue5250

timeout-riscv-ci

revert-4920-issue4917

revert-4628-CI-c910v-mips64-loongarch64

risc-v

revert-4153-dgemv

jenkins

revert-4103-windows_perf

utest-riscv

revert-3518-elbrus

v0.3.33

v0.3.32

v0.3.31

v0.3.30

v0.3.29

v0.3.28

v0.3.27

v0.3.26

v0.3.25

v0.3.24

v0.3.23

v0.3.22

v0.3.21

v0.3.20

v0.3.19

v0.3.18

v0.3.17

v0.3.16

v0.3.15

v0.3.14

克隆/下载

HTTPS SSH SVN SVN+SSH 下载ZIP

提示

下载代码请复制以下命令到终端执行

为确保你提交的代码身份被 Gitee 正确识别,请执行以下命令完成配置

git config --global user.name userName 
git config --global user.email userEmail

初次使用 SSH 协议进行代码克隆、推送等操作时,需按下述提示完成 SSH 配置

1 生成 RSA 密钥

2 获取 RSA 公钥内容,并配置到 SSH公钥中

在 Gitee 上使用 SVN,请访问使用指南

使用 HTTPS 协议时,命令行会出现如下账号密码验证步骤。基于安全考虑,Gitee 建议配置并使用私人令牌替代登录密码进行克隆、推送等操作

Username for 'https://gitee.com': userName

Password for 'https://userName@gitee.com': # 私人令牌

分支 57

标签 69

OpenBLAS

reference

strti2f.f

strti2f.f 4.09 KB

SUBROUTINE STRTI2F( UPLO, DIAG, N, A, LDA, INFO )
*
* -- LAPACK routine (version 3.1) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
* November 2006
*
* .. Scalar Arguments ..
 CHARACTER DIAG, UPLO
 INTEGER INFO, LDA, N
* ..
* .. Array Arguments ..
 REAL A( LDA, * )
* ..
*
* Purpose
* =======
*
* STRTI2 computes the inverse of a real upper or lower triangular
* matrix.
*
* This is the Level 2 BLAS version of the algorithm.
*
* Arguments
* =========
*
* UPLO (input) CHARACTER*1
* Specifies whether the matrix A is upper or lower triangular.
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* DIAG (input) CHARACTER*1
* Specifies whether or not the matrix A is unit triangular.
* = 'N': Non-unit triangular
* = 'U': Unit triangular
*
* N (input) INTEGER
* The order of the matrix A. N >= 0.
*
* A (input/output) REAL array, dimension (LDA,N)
* On entry, the triangular matrix A. If UPLO = 'U', the
* leading n by n upper triangular part of the array A contains
* the upper triangular matrix, and the strictly lower
* triangular part of A is not referenced. If UPLO = 'L', the
* leading n by n lower triangular part of the array A contains
* the lower triangular matrix, and the strictly upper
* triangular part of A is not referenced. If DIAG = 'U', the
* diagonal elements of A are also not referenced and are
* assumed to be 1.
*
* On exit, the (triangular) inverse of the original matrix, in
* the same storage format.
*
* LDA (input) INTEGER
* The leading dimension of the array A. LDA >= max(1,N).
*
* INFO (output) INTEGER
* = 0: successful exit
* < 0: if INFO = -k, the k-th argument had an illegal value
*
* =====================================================================
*
* .. Parameters ..
 REAL ONE
 PARAMETER ( ONE = 1.0E+0 )
* ..
* .. Local Scalars ..
 LOGICAL NOUNIT, UPPER
 INTEGER J
 REAL AJJ
* ..
* .. External Functions ..
 LOGICAL LSAME
 EXTERNAL LSAME
* ..
* .. External Subroutines ..
 EXTERNAL SSCAL, STRMV, XERBLA
* ..
* .. Intrinsic Functions ..
 INTRINSIC MAX
* ..
* .. Executable Statements ..
*
* Test the input parameters.
*
 INFO = 0
 UPPER = LSAME( UPLO, 'U' )
 NOUNIT = LSAME( DIAG, 'N' )
 IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
 INFO = -1
 ELSE IF( .NOT.NOUNIT .AND. .NOT.LSAME( DIAG, 'U' ) ) THEN
 INFO = -2
 ELSE IF( N.LT.0 ) THEN
 INFO = -3
 ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
 INFO = -5
 END IF
 IF( INFO.NE.0 ) THEN
 CALL XERBLA( 'STRTI2', -INFO )
 RETURN
 END IF
*
 IF( UPPER ) THEN
*
* Compute inverse of upper triangular matrix.
*
 DO 10 J = 1, N
 IF( NOUNIT ) THEN
 A( J, J ) = ONE / A( J, J )
 AJJ = -A( J, J )
 ELSE
 AJJ = -ONE
 END IF
*
* Compute elements 1:j-1 of j-th column.
*
 CALL STRMV( 'Upper', 'No transpose', DIAG, J-1, A, LDA,
 $ A( 1, J ), 1 )
 CALL SSCAL( J-1, AJJ, A( 1, J ), 1 )
 10 CONTINUE
 ELSE
*
* Compute inverse of lower triangular matrix.
*
 DO 20 J = N, 1, -1
 IF( NOUNIT ) THEN
 A( J, J ) = ONE / A( J, J )
 AJJ = -A( J, J )
 ELSE
 AJJ = -ONE
 END IF
 IF( J.LT.N ) THEN
*
* Compute elements j+1:n of j-th column.
*
 CALL STRMV( 'Lower', 'No transpose', DIAG, N-J,
 $ A( J+1, J+1 ), LDA, A( J+1, J ), 1 )
 CALL SSCAL( N-J, AJJ, A( J+1, J ), 1 )
 END IF
 20 CONTINUE
 END IF
*
 RETURN
*
* End of STRTI2
*
 END

一键复制编辑原始数据按行查看历史

Zhang Xianyi 提交于 2011年01月24日 22:54 +08:00 . Import GotoBLAS2 1.13 BSD version codes.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146

SUBROUTINESTRTI2F(UPLO,DIAG,N,A,LDA,INFO)
*
*--LAPACKroutine(version3.1)--
*Univ.ofTennessee,Univ.ofCaliforniaBerkeleyandNAGLtd..
*November2006
*
*..ScalarArguments..
CHARACTERDIAG,UPLO
INTEGERINFO,LDA,N
*..
*..ArrayArguments..
REALA(LDA,*)
*..
*
*Purpose
*=======
*
*STRTI2computestheinverseofarealupperorlowertriangular
*matrix.
*
*ThisistheLevel2BLASversionofthealgorithm.
*
*Arguments
*=========
*
*UPLO(input)CHARACTER*1
*SpecifieswhetherthematrixAisupperorlowertriangular.
*='U':Uppertriangular
*='L':Lowertriangular
*
*DIAG(input)CHARACTER*1
*SpecifieswhetherornotthematrixAisunittriangular.
*='N':Non-unittriangular
*='U':Unittriangular
*
*N(input)INTEGER
*TheorderofthematrixA.N>=0.
*
*A(input/output)REALarray,dimension(LDA,N)
*Onentry,thetriangularmatrixA.IfUPLO='U',the
*leadingnbynuppertriangularpartofthearrayAcontains
*theuppertriangularmatrix,andthestrictlylower
*triangularpartofAisnotreferenced.IfUPLO='L',the
*leadingnbynlowertriangularpartofthearrayAcontains
*thelowertriangularmatrix,andthestrictlyupper
*triangularpartofAisnotreferenced.IfDIAG='U',the
*diagonalelementsofAarealsonotreferencedandare
*assumedtobe1.
*
*Onexit,the(triangular)inverseoftheoriginalmatrix,in
*thesamestorageformat.
*
*LDA(input)INTEGER
*TheleadingdimensionofthearrayA.LDA>=max(1,N).
*
*INFO(output)INTEGER
*=0:successfulexit
*<0:ifINFO=-k,thek-thargumenthadanillegalvalue
*
*=====================================================================
*
*..Parameters..
REALONE
PARAMETER(ONE=1.0E+0)
*..
*..LocalScalars..
LOGICALNOUNIT,UPPER
INTEGERJ
REALAJJ
*..
*..ExternalFunctions..
LOGICALLSAME
EXTERNALLSAME
*..
*..ExternalSubroutines..
EXTERNALSSCAL,STRMV,XERBLA
*..
*..IntrinsicFunctions..
INTRINSICMAX
*..
*..ExecutableStatements..
*
*Testtheinputparameters.
*
INFO=0
UPPER=LSAME(UPLO,'U')
NOUNIT=LSAME(DIAG,'N')
IF(.NOT.UPPER.AND..NOT.LSAME(UPLO,'L'))THEN
INFO=-1
ELSEIF(.NOT.NOUNIT.AND..NOT.LSAME(DIAG,'U'))THEN
INFO=-2
ELSEIF(N.LT.0)THEN
INFO=-3
ELSEIF(LDA.LT.MAX(1,N))THEN
INFO=-5
ENDIF
IF(INFO.NE.0)THEN
CALLXERBLA('STRTI2',-INFO)
RETURN
ENDIF
*
IF(UPPER)THEN
*
*Computeinverseofuppertriangularmatrix.
*
DO10J=1,N
IF(NOUNIT)THEN
A(J,J)=ONE/A(J,J)
AJJ=-A(J,J)
ELSE
AJJ=-ONE
ENDIF
*
*Computeelements1:j-1ofj-thcolumn.
*
CALLSTRMV('Upper','No transpose',DIAG,J-1,A,LDA,
$A(1,J),1)
CALLSSCAL(J-1,AJJ,A(1,J),1)
10CONTINUE
ELSE
*
*Computeinverseoflowertriangularmatrix.
*
DO20J=N,1,-1
IF(NOUNIT)THEN
A(J,J)=ONE/A(J,J)
AJJ=-A(J,J)
ELSE
AJJ=-ONE
ENDIF
IF(J.LT.N)THEN
*
*Computeelementsj+1:nofj-thcolumn.
*
CALLSTRMV('Lower','No transpose',DIAG,N-J,
$A(J+1,J+1),LDA,A(J+1,J),1)
CALLSSCAL(N-J,AJJ,A(J+1,J),1)
ENDIF
20CONTINUE
ENDIF
*
RETURN
*
*EndofSTRTI2
*
END