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1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  
18  package org.apache.commons.math4.legacy.linear;
19  
20  import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
21  import org.apache.commons.math4.legacy.exception.util.LocalizedFormats;
22  
23  /**
24   * Exception to be thrown when a self-adjoint {@link RealLinearOperator}
25   * is expected.
26   * Since the coefficients of the matrix are not accessible, the most
27   * general definition is used to check that A is not self-adjoint, i.e.
28   * there exist x and y such as {@code | x' A y - y' A x | >= eps},
29   * where {@code eps} is a user-specified tolerance, and {@code x'}
30   * denotes the transpose of {@code x}.
31   * In the terminology of this exception, {@code A} is the "offending"
32   * linear operator, {@code x} and {@code y} are the first and second
33   * "offending" vectors, respectively.
34   *
35   * @since 3.0
36   */
37  public class NonSelfAdjointOperatorException
38      extends MathIllegalArgumentException {
39      /** Serializable version Id. */
40      private static final long serialVersionUID = 1784999305030258247L;
41  
42      /** Creates a new instance of this class. */
43      public NonSelfAdjointOperatorException() {
44          super(LocalizedFormats.NON_SELF_ADJOINT_OPERATOR);
45      }
46  }