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