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 }