LAPACK
3.12.1
LAPACK: Linear Algebra PACKage
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LAPACK
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LAPACK
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Routines
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LAPACK
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Linear solve, AX = B
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LU: General matrix, driver
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LU: computational routines (factor, cond, etc.)
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Cholesky: Hermitian/symmetric positive definite matrix, driver
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Cholesky: computational routines (factor, cond, etc.)
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LDL: Hermitian/symmetric indefinite matrix, driver
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LDL: computational routines (factor, cond, etc.)
— full, rook v1 —
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{he,sy}con: condition number estimate
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{he,sy}trf: triangular factor
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la{he,sy}f: step in hetrf
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{he,sy}tf2: triangular factor, level 2
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{he,sy}trs: triangular solve using factor
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{he,sy}tri: triangular inverse
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{he,sy}rfs: iterative refinement
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{he,sy}rfsx: iterative refinement, expert
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{he,sy}equb: equilibration, power of 2
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syconv: convert to/from L and D from hetrf
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{he,sy}con_3: condition number estimate
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{he,sy}tri2: inverse
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{he,sy}tri2x: inverse
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{he,sy}tri_3: inverse
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{he,sy}tri_3x: inverse
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{he,sy}trs2: solve using factor
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{he,sy}trs_3: solve using factor
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{he,sy}swapr: apply 2-sided permutation
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la_hercond: Skeel condition number estimate
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la_herfsx_extended: step in herfsx
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la_herpvgrw: reciprocal pivot growth
— packed, rook v1 —
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{hp,sp}con: condition number estimate
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{hp,sp}trf: triangular factor
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{hp,sp}trs: triangular solve using factor
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{hp,sp}tri: triangular inverse
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{hp,sp}rfs: iterative refinement
— full, rook v2 —
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{he,sy}con_rook: condition number estimate
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{he,sy}trf_rook: triangular factor
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la{he,sy}f_rook: triangular factor step
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{he,sy}tf2_rook: triangular factor, level 2
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{he,sy}trs_rook: triangular solve using factor
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{he,sy}tri_rook: triangular inverse
— full, rook v3 —
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{he,sy}trf_rk: triangular factor
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la{he,sy}f_rk: triangular factor step
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{he,sy}tf2_rk: triangular factor, level 2
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syconvf: convert to/from hetrf to hetrf_rk format
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syconvf_rook: convert to/from hetrf_rook to hetrf_rk format
— full, Aasen —
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{he,sy}trf_aa: triangular factor
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la{he,sy}f_aa: triangular factor partial factor
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{he,sy}trs_aa: triangular solve using factor
— full, Aasen, blocked 2-stage —
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{he,sy}trf_aa_2stage: triangular factor
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{he,sy}trs_aa_2stage: triangular solve using factor
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Triangular computational routines (solve, cond, etc.)
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Auxiliary routines
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Least squares
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Orthogonal/unitary factors (QR, CS, etc.)
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Non-symmetric eigenvalues
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Hermitian/symmetric eigenvalues
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Singular Value Decomposition (SVD)
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BLAS-like
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Auxiliary routines
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BLAS
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— packed, rook v1 —
LAPACK
»
Linear solve, AX = B
»
LDL: computational routines (factor, cond, etc.)
Collaboration diagram for — packed, rook v1 —:
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