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quad_form_sym.hpp
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1 #ifndef STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_SYM_HPP
2 #define STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_SYM_HPP
3
4 #include <boost/utility/enable_if.hpp>
5 #include <boost/type_traits.hpp>
6 #include <stan/math/prim/mat/fun/Eigen.hpp>
7 #include <stan/math/prim/mat/err/check_multiplicable.hpp>
8 #include <stan/math/prim/mat/err/check_square.hpp>
9 #include <stan/math/prim/mat/err/check_symmetric.hpp>
10 #include <stan/math/prim/mat/fun/dot_product.hpp>
11 #include <stan/math/prim/mat/fun/multiply.hpp>
12 #include <stan/math/prim/mat/fun/transpose.hpp>
13
14 namespace stan {
15 namespace math {
16
17 template<int RA, int CA, int RB, int CB, typename T>
18 inline Eigen::Matrix<T, CB, CB>
19 quad_form_sym(const Eigen::Matrix<T, RA, CA>& A,
20 const Eigen::Matrix<T, RB, CB>& B) {
21 using stan::math::multiply;
22
23 stan::math::check_square("quad_form_sym", "A", A);
24 stan::math::check_multiplicable("quad_form_sym",
25 "A", A,
26 "B", B);
27 stan::math::check_symmetric("quad_form_sym", "A", A);
28 Eigen::Matrix<T, CB, CB> ret(multiply(transpose(B), multiply(A, B)));
29 return T(0.5) * (ret + transpose(ret));
30 }
31
32 template<int RA, int CA, int RB, typename T>
33 inline T
34 quad_form_sym(const Eigen::Matrix<T, RA, CA>& A,
35 const Eigen::Matrix<T, RB, 1>& B) {
36 using stan::math::multiply;
37 using stan::math::dot_product;
38
39 stan::math::check_square("quad_form_sym", "A", A);
40 stan::math::check_multiplicable("quad_form_sym",
41 "A", A,
42 "B", B);
43 stan::math::check_symmetric("quad_form_sym", "A", A);
44 return dot_product(B, multiply(A, B));
45 }
46 }
47 }
48
49 #endif
50
multiply.hpp
check_multiplicable.hpp
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
stan::math::check_symmetric
bool check_symmetric(const char *function, const char *name, const Eigen::Matrix< T_y, Dynamic, Dynamic > &y)
Return true if the specified matrix is symmetric.
Definition: check_symmetric.hpp:38
check_symmetric.hpp
stan::math::quad_form_sym
Eigen::Matrix< T, CB, CB > quad_form_sym(const Eigen::Matrix< T, RA, CA > &A, const Eigen::Matrix< T, RB, CB > &B)
Definition: quad_form_sym.hpp:19
transpose.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::dot_product
fvar< T > dot_product(const Eigen::Matrix< fvar< T >, R1, C1 > &v1, const Eigen::Matrix< fvar< T >, R2, C2 > &v2)
Definition: dot_product.hpp:20
dot_product.hpp
Eigen.hpp
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
check_square.hpp

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