Bpj8 tSr/rSSKrSSKJr "SS\R R5rSSK J r S Sjr g) zz Matrix square root for general matrices and for upper triangular matrices. This module exists to avoid cyclic imports. N)get_lapack_funcsc\rSrSrSrg) SqrtmErrorN)__name__ __module__ __qualname____firstlineno____static_attributes__rX/var/www/html/pdf-tiff/venv/lib/python3.13/site-packages/scipy/linalg/_matfuncs_sqrtm.pyrrsrr)within_block_loopc [R"U5n[R"U5=(a [R"USS9S:nU(dH[R"U[R SS9n[R"U[R S9nOG[R"U[R SS9n[R"U[R S9n[R"[R"U55n[SU4SS 9nURu n[Xa-S 5n[Xg5upUS -n Xy- n X-X--U:wa [S 5e/n Sn X4X44H0up[U5HnU RXU-45 X- n M M2 [X@X5 [U5HnU Uunn[US - S S 5HwnU UunnUUU2UU24nUU- S :a&UUUU2UU24R'UUU2UU245- nUUU2UU24nUUU2UU24nU"UUU5unnnUU-UUU2UU24'My M U$![ an[#UR$6UeS nAff=f)a Matrix square root of an upper triangular matrix. This is a helper function for `sqrtm` and `logm`. Parameters ---------- T : (N, N) array_like upper triangular Matrix whose square root to evaluate blocksize : int, optional If the blocksize is not degenerate with respect to the size of the input array, then use a blocked algorithm. (Default: 64) Returns ------- sqrtm : (N, N) ndarray Value of the sqrt function at `T` References ---------- .. [1] Edvin Deadman, Nicholas J. Higham, Rui Ralha (2013) "Blocked Schur Algorithms for Computing the Matrix Square Root, Lecture Notes in Computer Science, 7782. pp. 171-182. g)initialrC)dtypeorder)rtrsyl preferred)ilp64rzinternal inconsistencyN)npdiag isrealobjminasarray complex128float64sqrtrshapemaxdivmod Exceptionrangeappendr RuntimeErrorrargsdot)T blocksizeT_diag keep_it_realRrnnblocksbsmallnlargeblargensmallstart_stop_pairsstartcountsizeiejjstartjstopistartistopSRiiRjjxscaleinfos r _sqrtm_triurGs4WWQZF<<?Frvvfb'AQ'FL  JJq S 9F"--8 JJq # 6F"**5  A Wqd+ >E 77DAq!.!$GA'NF aZF  F (A-011 E(6*:; uA  # #UDL$9 : ME< )! 0: 7^(+ qsB#A,Q/MFE&,u ,-A1uqy&,f 4599!E&LrPs: % && 4V r