biJdZddlZddlmZddlmZddlm Z GddeZ y)a, Copyright 2013 Steven Diamond 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. N)linalg) lambda_max) sum_largestcReZdZdZdZd fd Zd dZdZdZdZ e dZ xZ S) lambda_sum_largestz&Sum of the largest k eigenvalues. Tc:||_tt||y)N)ksuperr__init__)selfXr __class__s Y/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/lambda_sum_largest.pyr zlambda_sum_largest.__init__s  $03c|jd}|jdk(r|jd|jdk7r td|jdkr tdy)z.Verify that the argument A is square. rz'First argument must be a square matrix.z*Second argument must be a positive number.N)argsndimshape ValueErrorr )r r s rvalidate_argumentsz%lambda_sum_largest.validate_arguments!s[ IIaLvv{aggajAGGAJ6FG G VVq[IJ Jrcrtj|d}t||jjS)zTReturns the largest eigenvalue of A. Requires that A be symmetric. r)LAeigvalshrr value)r valueseigss rnumericzlambda_sum_largest.numeric*s- {{6!9%4(...rc|jgS)z!Returns the parameter k. )r )r s rget_datazlambda_sum_largest.get_data2sxrct)a+Gives the (sub/super)gradient of the atom w.r.t. each argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: values: A list of numeric values for the arguments. Returns: A list of SciPy CSC sparse matrices or None. )NotImplementedError)r rs r_gradzlambda_sum_largest._grad7s "##rcbtj|jdj|jdjjj s t dt|jDcgc]}|jduc}ry|jScc}w)Nrz)Input matrix was not Hermitian/symmetric.) npallcloserrTconjrany parameters _value_impl)r ps rrzlambda_sum_largest.valueDs{{499Q<--tyy|/A/A/C/C/H/H/JKHI I ):;A4; <!!r;s$ -/2"2"r