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      1 // Ceres Solver - A fast non-linear least squares minimizer
      2 // Copyright 2012 Google Inc. All rights reserved.
      3 // http://code.google.com/p/ceres-solver/
      4 //
      5 // Redistribution and use in source and binary forms, with or without
      6 // modification, are permitted provided that the following conditions are met:
      7 //
      8 // * Redistributions of source code must retain the above copyright notice,
      9 //   this list of conditions and the following disclaimer.
     10 // * Redistributions in binary form must reproduce the above copyright notice,
     11 //   this list of conditions and the following disclaimer in the documentation
     12 //   and/or other materials provided with the distribution.
     13 // * Neither the name of Google Inc. nor the names of its contributors may be
     14 //   used to endorse or promote products derived from this software without
     15 //   specific prior written permission.
     16 //
     17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
     18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
     21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     27 // POSSIBILITY OF SUCH DAMAGE.
     28 //
     29 // Author: keir (at) google.com (Keir Mierle)
     30 
     31 #ifndef CERES_INTERNAL_BLOCK_JACOBI_PRECONDITIONER_H_
     32 #define CERES_INTERNAL_BLOCK_JACOBI_PRECONDITIONER_H_
     33 
     34 #include <vector>
     35 #include "ceres/linear_operator.h"
     36 
     37 namespace ceres {
     38 namespace internal {
     39 
     40 struct CompressedRowBlockStructure;
     41 class LinearOperator;
     42 class SparseMatrix;
     43 
     44 // A block Jacobi preconditioner. This is intended for use with conjugate
     45 // gradients, or other iterative symmetric solvers. To use the preconditioner,
     46 // create one by passing a BlockSparseMatrix as the linear operator "A" to the
     47 // constructor. This fixes the sparsity pattern to the pattern of the matrix
     48 // A^TA.
     49 //
     50 // Before each use of the preconditioner in a solve with conjugate gradients,
     51 // update the matrix by running Update(A, D). The values of the matrix A are
     52 // inspected to construct the preconditioner. The vector D is applied as the
     53 // D^TD diagonal term.
     54 class BlockJacobiPreconditioner : public LinearOperator {
     55  public:
     56   // A must remain valid while the BlockJacobiPreconditioner is.
     57   BlockJacobiPreconditioner(const LinearOperator& A);
     58   virtual ~BlockJacobiPreconditioner();
     59 
     60   // Update the preconditioner with the values found in A. The sparsity pattern
     61   // must match that of the A passed to the constructor. D is a vector that
     62   // must have the same number of rows as A, and is applied as a diagonal in
     63   // addition to the block diagonals of A.
     64   void Update(const LinearOperator& A, const double* D);
     65 
     66   // LinearOperator interface.
     67   virtual void RightMultiply(const double* x, double* y) const;
     68   virtual void LeftMultiply(const double* x, double* y) const;
     69   virtual int num_rows() const { return num_rows_; }
     70   virtual int num_cols() const { return num_rows_; }
     71 
     72  private:
     73   std::vector<double*> blocks_;
     74   std::vector<double> block_storage_;
     75   int num_rows_;
     76 
     77   // The block structure of the matrix this preconditioner is for (e.g. J).
     78   const CompressedRowBlockStructure& block_structure_;
     79 };
     80 
     81 }  // namespace internal
     82 }  // namespace ceres
     83 
     84 #endif  // CERES_INTERNAL_BLOCK_JACOBI_PRECONDITIONER_H_
     85