Sentence examples for implementation of matrix from inspiring English sources

Efficient implementation of matrix algebra is important to the performance of many large and complex physical models.

In this paper, we present the implementation of Matrix BackPropagation (MBP) using scalar, vector, and matrix Instruction Set Architectures (ISAs).

Recall that in [22], the protocol MP has been proved to be an efficient and verifiable outsource-secure implementation of matrix multiplication in the single cloud server model.

TPE-based detectors admit simple and efficient multistage/pipelined hardware implementation [18], which stands in contrast to the complicated implementation of matrix inversion.

The previous implementation of matrix inversion in CRYSTALS attempted to eliminate singularities from ill-conditioned problems, but at some computational cost and poor scalability with problem size.

This paper describes the design and implementation of matrix and finite element stack machines for Aladdin, a new computational environment that embeds units inside matrix and finite element calculations.

This paper proposes a fine-grained implementation of matrix-free Conjugate Gradient (CG) solver for Finite Element Analysis (FEA) using Graphics Processing Unit (GPU) architectures.

Matrix-Matrix multiplications is the core of many important algorithms such as signal processing, scientific and engineering numerical, so it is substantial to accelerate implementation of matrix-matrix multiplications.

In Table 1, only a coarse complexity estimate is made for TDC-GSub, based on direct implementations of matrix operations.

(1) X 1 X 2 ⊗ Y = X 1 ⊗ Y X 2 ⊗ Y (2) X ⊗ [ Y 1 Y 2 ] = [ (X ⊗ Y 1 ) (X ⊗ Y 2 ) ] (3) (X 1 ⊗ Y 1 ) ⊕ (X 2 ⊗ Y 2 ) = [ X 1 X 2 ] ⊗ Y 1 Y 2 Under the assumption that the operations ⊗ and ⊕ between two domain elements consume Θ(1) computation time, a straightforward implementation of a matrix multiplication between two n × n matrices can be computed in Θ(n) time.

The paper by M. W. Al-Neama et al. " An Improved distance matrix computation algorithm for multicore clusters" is concerned with an efficient implementation of distance matrix computation on multicore clusters that finds wide application in multiple sequence alignment.