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
— full —
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{he,sy}ev: eig, QR iteration
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{he,sy}evd: eig, divide and conquer
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{he,sy}evr: eig, MRRR
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{he,sy}evx: eig, bisection
— full, 2-stage —
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{he,sy}ev_2stage: eig, QR iteration
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{he,sy}evd_2stage: eig, divide and conquer
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{he,sy}evr_2stage: eig, MRRR
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{he,sy}evx_2stage: eig, bisection
— packed —
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{hp,sp}ev: eig, QR iteration
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{hp,sp}evd: eig, divide and conquer
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{hp,sp}evx: eig, bisection
— banded —
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{hb,sb}ev: eig, QR iteration
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{hb,sb}evd: eig, divide and conquer
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{hb,sb}evx: eig, bisection
— banded, 2nd-stage —
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{hb,sb}ev_2stage: eig, QR iteration
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{hb,sb}evd_2stage: eig, divide and conquer
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{hb,sb}evx_2stage: eig, bisection
— tridiagonal —
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stev: eig, QR iteration
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stevd: eig, divide and conquer
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stevr: eig, MRRR
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stevx: eig, bisection
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pteqr: eig, positive definite tridiagonal
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stebz: eig, Kahan
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sterf: eig, QR iteration
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stedc: eig, divide and conquer
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stegr: eig, bisection, see stemr
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stein: eig, inverse iteration
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stemr: eig, relatively robust representation (RRR)
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steqr: eig, QR iteration
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Generalized eig driver, AV = BVΛ, etc.
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Eig computational routines
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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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— packed —
LAPACK
»
Hermitian/symmetric eigenvalues
»
Standard eig driver, AV = VΛ
Collaboration diagram for — packed —:
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Generated on Mon Jan 20 2025 17:19:01 for LAPACK by
1.11.0
1.11.0 