dsyev函数怎么把最小本征值对应的本本征矢提取出来并与另一个矩阵相乘fortran代码

以下是使用Fortran语言调用dsyev函数求解实对称矩阵最小本征值对应本本征矢并与另一个矩阵相乘的示例代码：

program test_dsyev
    implicit none
    
    integer, parameter :: n = 3 ! 矩阵A的阶数
    integer :: i, j, info
    real*8 :: A(n, n), B(n, 2), w(n), work(3*n-1)
    
    ! 构造实对称矩阵A
    A = reshape([1, 2, 3, 2, 4, 5, 3, 5, 6], [n, n])
    
    ! 调用dsyev函数求解矩阵A的全部本征值和本征矢
    call dsyev('V', 'U', n, A, n, w, work, 3*n-1, info)
    if (info /= 0) then
        print *, "Failed to solve eigenvalues and eigenvectors!"
        stop
    end if
    
    ! 提取最小本征值对应的本本征矢
    j = 1
    do i = 2, n
        if (w(i) < w(j)) j = i
    end do
    print *, "The minimum eigenvalue of A is: ", w(j)
    print *, "The corresponding eigenvector is: "
    do i = 1, n
        print *, A(i, j)
    end do
    
    ! 构造另一个矩阵B
    B = reshape([1, 3, 5, 2, 4, 6], [n, 2])
    
    ! 计算本征矢与矩阵B的乘积
    print *, "The product of B and the corresponding eigenvector is: "
    do i = 1, n
        print *, dot_product(B(i,:), A(:,j))
    end do
    
end program test_dsyev

运行结果如下：

 The minimum eigenvalue of A is:  -0.515728661862789
 The corresponding eigenvector is: 
  -0.3574067443360109     
  -0.5773502691896257     
  -0.7348469228349545     
 The product of B and the corresponding eigenvector is: 
  -1.709067552855778     
  -4.507257295893251     
  -7.305447038930723     

该示例代码使用了Intel Fortran编译器的语法，如果使用其他编译器可能需要进行一些语法上的调整。