bi >dZddlmZddlZddlmZGddeZy)a, Copyright 2018 Akshay Agrawal Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. )TupleN)AtomceZdZdZdfd ZdZdZdefdZde e dffdZ de e e ffd Z de fd Zde fd Zde fd Zde fd Zde fdZde fdZddZxZS) pf_eigenvalueaThe Perron-Frobenius eigenvalue of a positive matrix. For an elementwise positive matrix :math:`X`, this atom represents its spectral radius, i.e., the magnitude of its largest eigenvalue. Because :math:`X` is positive, the spectral radius equals its largest eigenvalue, which is guaranteed to be positive. This atom is log-log convex. Parameters ---------- X : cvxpy.Expression A positive square matrix. returncJtt| |||jd<yNr)superr__init__args)selfX __class__s T/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/pf_eigenvalue.pyr zpf_eigenvalue.__init__'s mT+A. ! ctjtjtjj |ddSr )npmaxabslinalgeigr valuess rnumericzpf_eigenvalue.numeric+s0vvbffRYY]]6!95a89::rc|jdjdk(r9|jdjd|jdjdk7r*td|jdj dy)z,Verify that the argument is a square matrix.rz The argument z- to pf_eigenvalue must be a 2-d square array.N)r ndimshape ValueErrornamer s rvalidate_argumentsz pf_eigenvalue.validate_arguments.sxyy|  A%1););A)>$))A,BTBTUVBW)W ! 1 1 344ab *XrcT|jjd|jddS)N(r))r__name__r r"s rr!zpf_eigenvalue.name5s>>22DIIaLAAr.ctS)z8Returns the (row, col) shape of the expression. )tupler"s rshape_from_argszpf_eigenvalue.shape_from_args8s wrcy)zCReturns sign (is positive, is negative) of the expression. )TFr"s rsign_from_argszpf_eigenvalue.sign_from_args=srcy)zIs the atom convex? Fr,r"s ris_atom_convexzpf_eigenvalue.is_atom_convexBrcy)zIs the atom concave? Fr,r"s ris_atom_concavezpf_eigenvalue.is_atom_concaveGr0rcy)z$Is the atom log-log convex? Tr,r"s ris_atom_log_log_convexz$pf_eigenvalue.is_atom_log_log_convexLrcy)z%Is the atom log-log concave? Fr,r"s ris_atom_log_log_concavez%pf_eigenvalue.is_atom_log_log_concaveQr0rcy)z;Is the composition non-decreasing in argument idx? Tr,r idxs ris_incrzpf_eigenvalue.is_incrVr5rcy)z;Is the composition non-increasing in argument idx? Fr,r9s ris_decrzpf_eigenvalue.is_decr[r0rcy)Nr,rs r_gradzpf_eigenvalue._grad`sr)rN)r' __module__ __qualname____doc__r rr#strr!rintr*boolr-r/r2r4r7r;r=r? __classcell__)rs@rrrs ;BcBsCx dDj 1     d d rr)rBtypingrnumpyrcvxpy.atoms.atomrrr,rrrJs# !IDIr