REAL routines
    
      - BD: bidiagonal
 
      - DI: diagonal
 
      - GB: general band
 
      - GE: general (i.e., unsymmetric, in some cases rectangular)
 
      - GG: general matrices, generalized problem (i.e., a pair of general matrices)
 
      - GT: general tridiagonal
 
      - HG: upper Hessenberg matrix, generalized problem (i.e a Hessenberg and a triangular matrix)
 
      - HS: upper Hessenberg
 
      - OP: (real) orthogonal, packed storage
 
      - OR: (real) orthogonal
 
      - PB: symmetric or Hermitian positive definite band
 
      - PO: symmetric or Hermitian positive definite
 
      - PP: symmetric or Hermitian positive definite, packed storage
 
      - PT: symmetric or Hermitian positive definite tridiagonal
 
      - SB: (real) symmetric band
 
      - SP: symmetric, packed storage
 
      - ST: (real) symmetric tridiagonal
 
      - SY: symmetric
 
      - TB: triangular band
 
      - TG: triangular matrices, generalized problem (i.e., a pair of triangular matrices)
 
      - TP: triangular, packed storage
 
      - TR: triangular (or in some cases quasi-triangular)
 
      - TZ: trapezoidal
 
    
    
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