BlockBandedMatrix
E440655
BlockBandedMatrix is a Julia matrix type representing sparse matrices composed of dense blocks arranged in a banded structure, optimized for efficient storage and linear algebra operations.
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
Julia matrix type
ⓘ
block-structured matrix type ⓘ sparse matrix representation ⓘ |
| advantage |
faster operations than generic sparse formats for banded-block structure
ⓘ
reduced memory usage compared to dense matrices ⓘ |
| belongsTo | Julia linear algebra ecosystem ⓘ |
| compatibleWith | Julia array interface ⓘ |
| dataLayout |
blocks stored as dense submatrices
ⓘ
nonzero pattern constrained to bands of blocks ⓘ |
| designedFor |
exploiting banded sparsity
ⓘ
exploiting block sparsity ⓘ |
| hasComponent |
block bandwidth structure
ⓘ
dense matrix blocks ⓘ |
| hasProperty |
banded structure
ⓘ
block structure ⓘ dense blocks ⓘ optimized for linear algebra operations ⓘ optimized for memory efficiency ⓘ sparse storage ⓘ supports banded algorithms ⓘ |
| programmingLanguage | Julia NERFINISHED ⓘ |
| supportsOperation |
factorization-based methods
ⓘ
linear system solves ⓘ matrix-matrix multiplication ⓘ matrix-vector multiplication ⓘ |
| typicalUseCase |
discretized differential equations with block structure
ⓘ
multi-physics problems with coupled variables ⓘ time-stepping schemes with block coupling ⓘ |
| usedFor |
efficient linear algebra on block-banded matrices
ⓘ
efficient storage of block-banded matrices ⓘ representing block-banded matrices ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.