Stan Math Library  2.12.0
reverse mode automatic differentiation
check_pos_semidefinite.hpp
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1 #ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_POS_SEMIDEFINITE_HPP
2 #define STAN_MATH_PRIM_MAT_ERR_CHECK_POS_SEMIDEFINITE_HPP
3 
12 #include <sstream>
13 
14 namespace stan {
15  namespace math {
32  template <typename T_y>
33  inline bool
35  const char* function,
36  const char* name,
37  const Eigen::Matrix<T_y, Eigen::Dynamic, Eigen::Dynamic>& y
38  ) {
39  check_symmetric(function, name, y);
40  check_positive_size(function, name, "rows", y.rows());
41 
42  if (y.rows() == 1 && !(y(0, 0) >= 0.0))
43  domain_error(function, name, "is not positive semi-definite.", "");
44 
45  using Eigen::LDLT;
46  using Eigen::Matrix;
47  using Eigen::Dynamic;
48  LDLT<Matrix<double, Dynamic, Dynamic> > cholesky
49  = value_of_rec(y).ldlt();
50  if (cholesky.info() != Eigen::Success
51  || (cholesky.vectorD().array() < 0.0).any())
52  domain_error(function, name, "is not positive semi-definite.", "");
53  check_not_nan(function, name, y);
54  return true;
55  }
56 
57  }
58 }
59 #endif
bool check_not_nan(const char *function, const char *name, const T_y &y)
Return true if y is not NaN.
bool check_positive_size(const char *function, const char *name, const char *expr, const int size)
Return true if size is positive.
double value_of_rec(const fvar< T > &v)
Return the value of the specified variable.
bool check_pos_semidefinite(const char *function, const char *name, const Eigen::Matrix< T_y, Eigen::Dynamic, Eigen::Dynamic > &y)
Return true if the specified matrix is positive definite.
void domain_error(const char *function, const char *name, const T &y, const char *msg1, const char *msg2)
Throw a domain error with a consistently formatted message.
bool check_symmetric(const char *function, const char *name, const Eigen::Matrix< T_y, Eigen::Dynamic, Eigen::Dynamic > &y)
Return true if the specified matrix is symmetric.

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