doip("S/rSSKrSSKJr SSKJr SSKJr \R\R\R\RS.r \R\R\R \R"S.rSSS.r"S S 5rS S jrg) _svdpN)aslinearoperator) LinAlgError)_propack)fdFD)LMSMcD\rSrSrSrSrSr\S5r\S5r Sr g) _AProd!z| Wrapper class for linear operator The call signature of the __call__ method matches the callback of the PROPACK routines. c[U5Ulg![a' [[R"U55Ulgf=fN)rA TypeErrornpasarray)selfrs U/var/www/html/land-ocr/venv/lib/python3.13/site-packages/scipy/sparse/linalg/_svdp.py__init___AProd.__init__(s6 5%a(DF 5%bjjm4DF 5s.AAcUS:XaURRU5USS&gURRU5USS&g)Nr)rmatvecrmatvec)rtransamnxys r__call___AProd.__call__.s5 Q;66==#AaD66>>!$AaDc.URR$r)rshapers rr' _AProd.shape4svv||r%cURR$![aS URR[R "URR S55Rs$f=f)Nr)rdtypeAttributeErrorrrzerosr'r(s rr+ _AProd.dtype8sU B66<<  B66==$&&,,q/!:;AA A BsAA54A5)rN) __name__ __module__ __qualname____firstlineno____doc__rr#propertyr'r+__static_attributes__r%rrr!s; 5 % BBr%rc Uc [S5eUR5nUS;a [S5eU(dUS:Xa [S5e[U5nURRn[ Un[ UnURunnUS :dU[UU5:a [S 5eUcS U-nUcSn[US -US -U5nXA:a[SUSUS35eU(aS OSnU(aS OSn[R"UUS -4SUS9n[R"UU4SUS9n[R"USUR5S9n[R"USUR5S9nUcfURUS9USS2S4'[R"[R"SUS95(a!USS2S4==SURUS9-- ss'O UUSS2S4'U c4[R "[R""U5R$5n U c#[R""U5R$S-n U(a][R&"XX4UR5S9nUcXA- nU[UU- UU5:a [S5eUS:a [S5eO%[R&"XU 4UR5S9n[R&"[)[+U 55[)[+U554SS9n Sn!U(dU(aHUU-SUS---SU--S-n"U"[-S US--SU--S-U![-UU5-5- n"S!U-n#O5UU-SU--SUS---S-[-UU-SU-S-5-n"SU-S-n#[R"U"UR5S9n$[R"U#[R.S9n%[R"S UR5S9n&[R"S [R.S9n'UR15(a![R"UU-U-US9n(U$U(U%4n)OU$U%4n)UR3S[R4"[R65R,S[R8S"9n*U(a(U"[:UUUUUUUUU UUUUU/U)QUPU PU&PU'PU*P76n+OU"UUUUXU UUUUU/ U)QUPU PU&PU'PU*P76n+U+S:a[=S#U+S$35eU+S:a[=S%US&US'35eUSS2SU24UUSS2SU24R?5R@U4$![aI [R"[R"SUS95(aS nOS n[ Un[ UnGN&f=f![a [SU35ef=f)(a4 Compute the singular value decomposition of a linear operator using PROPACK Parameters ---------- A : array_like, sparse matrix, or LinearOperator Operator for which SVD will be computed. If `A` is a LinearOperator object, it must define both ``matvec`` and ``rmatvec`` methods. k : int Number of singular values/vectors to compute which : {"LM", "SM"} Which singular triplets to compute: - 'LM': compute triplets corresponding to the `k` largest singular values - 'SM': compute triplets corresponding to the `k` smallest singular values `which='SM'` requires `irl_mode=True`. Computes largest singular values by default. irl_mode : bool, optional If `True`, then compute SVD using IRL (implicitly restarted Lanczos) mode. Default is `True`. kmax : int, optional Maximal number of iterations / maximal dimension of the Krylov subspace. Default is ``10 * k``. compute_u : bool, optional If `True` (default) then compute left singular vectors, `u`. compute_v : bool, optional If `True` (default) then compute right singular vectors, `v`. tol : float, optional The desired relative accuracy for computed singular values. If not specified, it will be set based on machine precision. v0 : array_like, optional Starting vector for iterations: must be of length ``A.shape[0]``. If not specified, PROPACK will generate a starting vector. full_output : bool, optional If `True`, then return sigma_bound. Default is `False`. delta : float, optional Level of orthogonality to maintain between Lanczos vectors. Default is set based on machine precision. eta : float, optional Orthogonality cutoff. During reorthogonalization, vectors with component larger than `eta` along the Lanczos vector will be purged. Default is set based on machine precision. anorm : float, optional Estimate of ``||A||``. Default is ``0``. cgs : bool, optional If `True`, reorthogonalization is done using classical Gram-Schmidt. If `False` (default), it is done using modified Gram-Schmidt. elr : bool, optional If `True` (default), then extended local orthogonality is enforced when obtaining singular vectors. min_relgap : float, optional The smallest relative gap allowed between any shift in IRL mode. Default is ``0.001``. Accessed only if ``irl_mode=True``. shifts : int, optional Number of shifts per restart in IRL mode. Default is determined to satisfy ``k <= min(kmax-shifts, m, n)``. Must be >= 0, but choosing 0 might lead to performance degradation. Accessed only if ``irl_mode=True``. maxiter : int, optional Maximum number of restarts in IRL mode. Default is ``1000``. Accessed only if ``irl_mode=True``. rng : `numpy.random.Generator`, optional Pseudorandom number generator state. When `rng` is None, a new `numpy.random.Generator` is created using entropy from the operating system. Types other than `numpy.random.Generator` are passed to `numpy.random.default_rng` to instantiate a ``Generator``. Returns ------- u : ndarray The `k` largest (``which="LM"``) or smallest (``which="SM"``) left singular vectors, ``shape == (A.shape[0], 3)``, returned only if ``compute_u=True``. sigma : ndarray The top `k` singular values, ``shape == (k,)`` vt : ndarray The `k` largest (``which="LM"``) or smallest (``which="SM"``) right singular vectors, ``shape == (3, A.shape[1])``, returned only if ``compute_v=True``. sigma_bound : ndarray the error bounds on the singular values sigma, returned only if ``full_output=True``. Nz:`rng` must be a normalized numpy.random.Generator instance>r r z#`which` must be either 'LM' or 'SM'r z#`which`='SM' requires irl_mode=Truer)r+r r rz.k must be positive and not greater than m or n iz3kmax must be greater than or equal to k, but kmax (z) < k ()r )orderr+)sizey?zv0 must be of length g?z0shifts must satisfy k <= min(kmax-shifts, m, n)!zshifts must be >= 0!i  )lowhighr;r+z#An invariant subspace of dimension z was found.zk=z0 singular triplets did not converge within kmax=z iterations)! ValueErrorupperrr+char_lansvd_irl_dict _lansvd_dictKeyErrorr iscomplexobjemptyr'minr-loweruniformsqrtfinfoepsarrayintboolmaxint32isupperintegersiinfoint64uint64_which_converterrconjT),rkwhichirl_modekmax compute_u compute_vv0 full_outputtoldeltaetaanormcgselr min_relgapshiftsmaxiterrngaprodtyp lansvd_irllansvdrr jobujobvuvsigmabnddoptionioptionNBlworkliworkworkiworkdparmiparmzworkworks rng_stateinfos, rrr@sr {UVV KKME L >??  >?? 1IE ++  C #%c* c" ;;DAq A1s1ay=IJJ |!t q1ua!eT "D x gaS +, , 1qD1qD !TAXc5A !T#S1A HHQc 5E ((1Csyy{ 3C  z++1+%!Q$ ??288AS1 2 2 adGrCKKQK// /G :AadG  } ))* {hhsm4'((E:#))+N >XF s4&=!Q' '<= = aZ34 4((E.ciikBhhDIDI7sCG BIA$' !AdF*Q. QtQwY4'!+RAq \::4A$47*Q.QUAdFQJ1GG4! 88E -D HHV288 ,E HHQciik *E HHQbhh 'E {{}}QS1eU"e  "(();)?)?"#2996I*5141fa#E3<49<;B<"<$)<+0<2;< dD!QeQsAII%I'.I05I7<I>GI ax1${ CE E 6 &' ' QU8UAa!eHMMO--s 22w # ??288AS1 2 2CC%c* c"#Z :4QC89 9 :s*U V&AV#"V#&V?)r TNTTNFrNNrFTgMb`?NNN)__all__numpyrscipy.sparse.linalgr scipy.linalgrrslansvddlansvdclansvdzlansvdrJ slansvd_irl dlansvd_irl clansvd_irl zlansvd_irlrIr^rrr6r%rrs )0$                             BB>15JK8<;?c3r%