NDWasmBlas
- Description:
NDWasmBlas: BLAS (Basic Linear Algebra Subprograms) Handles O(n^2) and O(n^3) matrix-matrix and matrix-vector operations.
- Source:
Methods
(static) ger(x, y) → {NDArray}
- Description:
Vector Outer Product (Rank-1 Update): A = x * y^T. Complexity: O(m * n)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
x |
NDArray | Vector of shape [m]. |
y |
NDArray | Vector of shape [n]. |
Returns:
Result matrix of shape [m, n].
- Type
- NDArray
(static) matMul(a, b) → {NDArray}
- Description:
General Matrix Multiplication (GEMM): C = A * B. Complexity: O(m * n * k)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Left matrix of shape [m, n]. |
b |
NDArray | Right matrix of shape [n, k]. |
Returns:
Result matrix of shape [m, k].
- Type
- NDArray
(static) matMulBatch(a, b) → {NDArray}
- Description:
Batched Matrix Multiplication: C[i] = A[i] * B[i]. Common in deep learning inference. Complexity: O(batch * m * n * k)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Batch of matrices of shape [batch, m, n]. |
b |
NDArray | Batch of matrices of shape [batch, n, k]. |
Returns:
Result batch of shape [batch, m, k].
- Type
- NDArray
(static) matPow(a) → {NDArray}
- Description:
matPow computes A^k (Matrix Power). Matrix Functions (O(n^3))
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Matrix of shape [n, n]. |
Returns:
Result matrix of shape [n, n].
- Type
- NDArray
(static) matVecMul(a, x) → {NDArray}
- Description:
Matrix-Vector Multiplication: y = A * x. Complexity: O(m * n)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Matrix of shape [m, n]. |
x |
NDArray | Vector of shape [n]. |
Returns:
Result vector of shape [m].
- Type
- NDArray
(static) syrk(a) → {NDArray}
- Description:
Symmetric Rank-K Update: C = alpha * A * A^T + beta * C. Used for efficiently computing covariance matrices or Gram matrices. Complexity: O(n^2 * k)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Input matrix of shape [n, k]. |
Returns:
Symmetric result matrix of shape [n, n].
- Type
- NDArray
(static) trace(a) → {number}
- Description:
Calculates the trace of a 2D square matrix (sum of diagonal elements). Complexity: O(n)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray |
Throws:
-
If the array is not 2D or not a square matrix.
- Type
- Error
Returns:
The sum of the diagonal elements.
- Type
- number
(static) trsm(a, b) → {NDArray}
- Description:
Triangular System Solver: Solves A * X = B for X, where A is a triangular matrix. Complexity: O(m^2 * n)
- Source:
Parameters:
| Name | Type | Description |
|---|---|---|
a |
NDArray | Triangular matrix of shape [m, m]. |
b |
NDArray | Right-hand side matrix/vector of shape [m, n]. |
Returns:
Solution matrix X of shape [m, n].
- Type
- NDArray