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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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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Standard eig driver, AV = VΛ
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Generalized eig driver, AV = BVΛ, etc.
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Eig computational routines
— full —
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disna: eig condition numbers
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{he,sy}trd: reduction to tridiagonal
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{he,sy}td2: reduction to tridiagonal, level 2
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latrd: step in hetrd
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{un,or}gtr: generate Q from hetrd
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{un,or}mtr: multiply by Q from hetrd
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{he,sy}trd_2stage: reduction to tridiagonal, 2-stage
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{he,sy}trd_he2hb: full to band (1st stage)
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{he,sy}trd_hb2st: band to tridiagonal (2nd stage)
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{hb,sb}2st_kernels: band to tridiagonal (2nd stage)
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lae2: 2x2 eig, step in steqr, stemr
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laesy: 2x2 eig
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laev2: 2x2 eig
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lagtf: LU factor of (T - λI)
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lagts: LU solve of (T - λI) x = y
— packed —
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{hp,sp}trd: reduction to tridiagonal
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{up,op}gtr: generate Q from hetrd
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{up,op}mtr: multiply by Q from hptrd
— banded —
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{hb,sb}trd: reduction to tridiagonal
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Generalized eig computational routines
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tridiag bisection routines
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tridiag divide and conquer (D&C) routines
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tridiag RRR routines
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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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— full —
LAPACK
»
Hermitian/symmetric eigenvalues
»
Eig computational routines
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