zgematrix-calc.hpp File Reference

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Functions
_zgematrix	t (const zgematrix &mat)
_zgematrix	i (const zgematrix &mat)
_zgematrix	conj (const zgematrix &mat)
_zgematrix	conjt (const zgematrix &mat)
void	idamax (CPPL_INT &i, CPPL_INT &j, const zgematrix &mat)
comple	damax (const zgematrix &mat)

Function Documentation

_zgematrix t ( const zgematrix &  mat )

inline

return transposed zgematrix

Definition at line 3 of file zgematrix-calc.hpp.

References _(), i(), zgematrix::m, and zgematrix::n.

{CPPL_VERBOSE_REPORT;
  zgematrix newmat(mat.n,mat.m);
  
  for(CPPL_INT i=0; i<newmat.m; i++){
    for(CPPL_INT j=0; j<newmat.n; j++){
      newmat(i,j) =mat(j,i);
    }
  }
  
  return _(newmat);
}

_zgematrix i ( const zgematrix &  mat )

inline

return its inverse matrix

Definition at line 18 of file zgematrix-calc.hpp.

References _(), zgematrix::identity(), zgematrix::m, zgematrix::n, and zgematrix::zgesv().

Referenced by conj(), conjt(), and t().

{CPPL_VERBOSE_REPORT;
#ifdef  CPPL_DEBUG
  if(mat.m!=mat.n){
    ERROR_REPORT;
    std::cerr << "This matrix is not square and has no inverse matrix." << std::endl
              << "Your input was (" << mat.m << "x" << mat.n << ")." << std::endl;
    exit(1);
  }
#endif//CPPL_DEBUG
  
  zgematrix mat_cp(mat), mat_inv(mat.m,mat.n);
  mat_inv.identity();
  mat_cp.zgesv(mat_inv);
  
  return _(mat_inv);
}

_zgematrix conj ( const zgematrix &  mat )

inline

return its conjugate matrix

Definition at line 42 of file zgematrix-calc.hpp.

References _(), i(), zgematrix::m, and zgematrix::n.

Referenced by conjt().

{CPPL_VERBOSE_REPORT;
  zgematrix newmat(mat.m,mat.n);
  
  for(CPPL_INT i=0; i<mat.m; i++){
    for(CPPL_INT j=0; j<mat.n; j++){
      newmat(i,j) =std::conj(mat(i,j));
    }
  }
  
  return _(newmat);
}

_zgematrix conjt ( const zgematrix &  mat )

inline

return its conjugate transposed matrix

Definition at line 57 of file zgematrix-calc.hpp.

References _(), conj(), i(), zgematrix::m, and zgematrix::n.

{CPPL_VERBOSE_REPORT;
  zgematrix newmat(mat.n,mat.m);
  
  for(CPPL_INT i=0; i<newmat.m; i++){
    for(CPPL_INT j=0; j<newmat.n; j++){
      newmat(i,j) =std::conj(mat(j,i));
    }
  }
  
  return _(newmat);
}

void idamax ( CPPL_INT &  i, CPPL_INT &  j, const zgematrix &  mat  )

inline

search the index of element having the largest absolute value in 0-based numbering system

Definition at line 77 of file zgematrix-calc.hpp.

References zgematrix::array, zgematrix::m, and zgematrix::n.

{CPPL_VERBOSE_REPORT;
  CPPL_INT size =mat.m*mat.n;
  CPPL_INT inc =1;
  CPPL_INT index =izamax_(&size, mat.array, &inc) -1;
  i =index%mat.m;
  j =index/mat.m;
}

comple damax ( const zgematrix &  mat )

inline

return its largest absolute value

Definition at line 88 of file zgematrix-calc.hpp.

References zgematrix::array, zgematrix::m, and zgematrix::n.

{CPPL_VERBOSE_REPORT;
  CPPL_INT size =mat.m*mat.n;
  CPPL_INT inc =1;
  return mat.array[izamax_(&size, mat.array, &inc) -1];
}