structured matrix
C26958
concept
A structured matrix is a matrix whose entries follow a specific pattern or rule (such as Toeplitz, circulant, or banded structure), enabling more efficient storage and computation than a general dense matrix.
All labels observed (13)
| Label | Occurrences |
|---|---|
| structured matrix canonical | 5 |
| Bidiagonal matrix | 2 |
| 4×4 matrix | 1 |
| Julia matrix type | 1 |
| MatrixType | 1 |
| Sparse matrix | 1 |
| block-structured matrix type | 1 |
| linear algebra data structure | 1 |
| matrix data container | 1 |
| matrix representation | 1 |
| matrix type | 1 |
| orthogonal matrix over ±1 | 1 |
| sparse matrix representation | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: structured matrix
Generated description
A structured matrix is a matrix whose entries follow a specific pattern or rule (such as Toeplitz, circulant, or banded structure), enabling more efficient storage and computation than a general dense matrix.
Instances (13)
| Instance | Via concept surface |
|---|---|
| Cauchy matrix | — |
|
Hadamard matrices
surface form:
Hadamard matrix
|
orthogonal matrix over ±1 |
| UpperTriangular | matrix type |
|
Bidiagonal
surface form:
Bidiagonal matrix
|
Sparse matrix |
| SymTridiagonal | MatrixType |
| BlockBandedMatrix | Julia matrix type |
|
Toeplitz matrices
surface form:
Toeplitz matrix
|
— |
| Sylvester matrix | — |
| Vandermonde matrix | — |
| Mueller matrix | 4×4 matrix |
| Hurwitz matrix | — |
| ELL (ELLPACK) | matrix representation |
| MPSMatrix | matrix data container |