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trace_quad_form.hpp
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#ifndef STAN_MATH_FWD_MAT_FUN_TRACE_QUAD_FORM_HPP
#define STAN_MATH_FWD_MAT_FUN_TRACE_QUAD_FORM_HPP
#include <boost/type_traits.hpp>
#include <stan/math/prim/mat/err/check_multiplicable.hpp>
#include <stan/math/prim/mat/err/check_square.hpp>
#include <stan/math/fwd/mat/fun/multiply.hpp>
#include <stan/math/prim/mat/fun/multiply.hpp>
#include <stan/math/prim/mat/fun/transpose.hpp>
#include <stan/math/prim/mat/fun/trace.hpp>
#include <stan/math/fwd/core.hpp>
namespace stan {
namespace math {
template<int RA, int CA, int RB, int CB, typename T>
inline fvar<T>
trace_quad_form(const Eigen::Matrix<fvar<T>, RA, CA> &A,
const Eigen::Matrix<fvar<T>, RB, CB> &B) {
check_square("trace_quad_form", "A", A);
check_multiplicable("trace_quad_form",
"A", A,
"B", B);
return trace(multiply(transpose(B),
multiply(A, B)));
}
template<int RA, int CA, int RB, int CB, typename T>
inline fvar<T>
trace_quad_form(const Eigen::Matrix<fvar<T>, RA, CA> &A,
const Eigen::Matrix<double, RB, CB> &B) {
check_square("trace_quad_form", "A", A);
check_multiplicable("trace_quad_form",
"A", A,
"B", B);
return trace(multiply(transpose(B),
multiply(A, B)));
}
template<int RA, int CA, int RB, int CB, typename T>
inline fvar<T>
trace_quad_form(const Eigen::Matrix<double, RA, CA> &A,
const Eigen::Matrix<fvar<T>, RB, CB> &B) {
check_square("trace_quad_form", "A", A);
check_multiplicable("trace_quad_form",
"A", A,
"B", B);
return trace(multiply(transpose(B),
multiply(A, B)));
}
}
}
#endif
multiply.hpp
core.hpp
check_multiplicable.hpp
stan::math::trace_quad_form
fvar< T > trace_quad_form(const Eigen::Matrix< fvar< T >, RA, CA > &A, const Eigen::Matrix< fvar< T >, RB, CB > &B)
Definition: trace_quad_form.hpp:18
stan::math::multiply
Eigen::Matrix< fvar< T >, R1, C1 > multiply(const Eigen::Matrix< fvar< T >, R1, C1 > &m, const fvar< T > &c)
Definition: multiply.hpp:20
multiply.hpp
transpose.hpp
trace.hpp
stan::math::check_multiplicable
bool check_multiplicable(const char *function, const char *name1, const T1 &y1, const char *name2, const T2 &y2)
Return true if the matrices can be multiplied.
Definition: check_multiplicable.hpp:33
stan::math::trace
T trace(const Eigen::Matrix< T, Eigen::Dynamic, Eigen::Dynamic > &m)
Returns the trace of the specified matrix.
Definition: trace.hpp:20
stan::math::transpose
Eigen::Matrix< T, C, R > transpose(const Eigen::Matrix< T, R, C > &m)
Definition: transpose.hpp:12
stan::math::check_square
bool check_square(const char *function, const char *name, const Eigen::Matrix< T_y, Eigen::Dynamic, Eigen::Dynamic > &y)
Return true if the specified matrix is square.
Definition: check_square.hpp:28
stan::math::fvar
Definition: fvar.hpp:13
check_square.hpp

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