- BD: bidiagonal
- 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
- HB: (complex) Hermitian band
- HE: (complex) Hermitian
- HG: upper Hessenberg matrix, generalized problem (i.e a Hessenberg and a triangular matrix)
- HP: (complex) Hermitian, packed storage
- HS: upper Hessenberg
- 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
- 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
- UN: (complex) unitary
- UP: (complex) unitary, packed storageBDbidiagonal

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