laexc - laexc: reorder Schur form

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subroutinedlaexc(logicalwantq,integern,doubleprecision,dimension(ldt,*)t,integerldt,doubleprecision,dimension(ldq,*)q,integerldq,integerj1,integern1,integern2,doubleprecision,dimension(*)work,integerinfo)DLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation. Purpose: DLAEXC swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasi-triangular matrix T by an orthogonal similarity transformation. T must be in Schur canonical form, that is, block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each 2-by-2 diagonal block has its diagonal elements equal and its off-diagonal elements of opposite sign. ParametersWANTQ WANTQ is LOGICAL = .TRUE. : accumulate the transformation in the matrix Q; = .FALSE.: do not accumulate the transformation. N N is INTEGER The order of the matrix T. N >= 0. T T is DOUBLE PRECISION array, dimension (LDT,N) On entry, the upper quasi-triangular matrix T, in Schur canonical form. On exit, the updated matrix T, again in Schur canonical form. LDT LDT is INTEGER The leading dimension of the array T. LDT >= max(1,N). Q Q is DOUBLE PRECISION array, dimension (LDQ,N) On entry, if WANTQ is .TRUE., the orthogonal matrix Q. On exit, if WANTQ is .TRUE., the updated matrix Q. If WANTQ is .FALSE., Q is not referenced. LDQ LDQ is INTEGER The leading dimension of the array Q. LDQ >= 1; and if WANTQ is .TRUE., LDQ >= N. J1 J1 is INTEGER The index of the first row of the first block T11. N1 N1 is INTEGER The order of the first block T11. N1 = 0, 1 or 2. N2 N2 is INTEGER The order of the second block T22. N2 = 0, 1 or 2. WORK WORK is DOUBLE PRECISION array, dimension (N) INFO INFO is INTEGER = 0: successful exit = 1: the transformed matrix T would be too far from Schur form; the blocks are not swapped and T and Q are unchanged. Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutineslaexc(logicalwantq,integern,real,dimension(ldt,*)t,integerldt,real,dimension(ldq,*)q,integerldq,integerj1,integern1,integern2,real,dimension(*)work,integerinfo)SLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation. Purpose: SLAEXC swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasi-triangular matrix T by an orthogonal similarity transformation. T must be in Schur canonical form, that is, block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each 2-by-2 diagonal block has its diagonal elements equal and its off-diagonal elements of opposite sign. ParametersWANTQ WANTQ is LOGICAL = .TRUE. : accumulate the transformation in the matrix Q; = .FALSE.: do not accumulate the transformation. N N is INTEGER The order of the matrix T. N >= 0. T T is REAL array, dimension (LDT,N) On entry, the upper quasi-triangular matrix T, in Schur canonical form. On exit, the updated matrix T, again in Schur canonical form. LDT LDT is INTEGER The leading dimension of the array T. LDT >= max(1,N). Q Q is REAL array, dimension (LDQ,N) On entry, if WANTQ is .TRUE., the orthogonal matrix Q. On exit, if WANTQ is .TRUE., the updated matrix Q. If WANTQ is .FALSE., Q is not referenced. LDQ LDQ is INTEGER The leading dimension of the array Q. LDQ >= 1; and if WANTQ is .TRUE., LDQ >= N. J1 J1 is INTEGER The index of the first row of the first block T11. N1 N1 is INTEGER The order of the first block T11. N1 = 0, 1 or 2. N2 N2 is INTEGER The order of the second block T22. N2 = 0, 1 or 2. WORK WORK is REAL array, dimension (N) INFO INFO is INTEGER = 0: successful exit = 1: the transformed matrix T would be too far from Schur form; the blocks are not swapped and T and Q are unchanged. Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd.

laexc - laexc: reorder Schur form

Functions subroutine dlaexc (wantq, n, t, ldt, q, ldq, j1, n1, n2, work, info) DLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation. subroutine slaexc (wantq, n, t, ldt, q, ldq, j1, n1, n2, work, info) SLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation.