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These precoding techniques usually involve complicated matrix operations, such as matrix inversion, QR decomposition, or SVD.
The method is iterative and relies only on constant matrix operations such as multiplications, null-space calculations and equivalence transformations, and thereby straightforward to implement.
PROCOV spends a lot of time doing matrix operations, such as matrix multiplication, matrix inversion and eigenvalue/eigenvector decomposition.
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Fast 8 × 8 forward and inverse transform is implemented using matrix decomposition and matrix operation such as Kronecker product and direct sum.
Complex matrix operations involved in MMSE such as matrix addition, subtraction, conjugation, and multiplication are broken down into basic complex number operations.
Both CLAK-C hol and CLAK-E ig are entirely expressed in terms of standard linear algebra operations, such as matrix products and matrix factorizations, provided by the BLAS and LAPACK libraries.
The model is updated using low-rank symmetric updates and other computational requirements of the method include only simple operations such as matrix multiplications and solutions of low-order algebraic linear systems.
The problem of executing large BLAS (basic linear algebra subprograms) Level-2 operations, such as matrix-vector products, in a network-based distributed computing environment composed of a bus-oriented workstation cluster is considered.
Systolic arrays are being used for matrix operations and required specific processing algorithms, such as, transform techniques, matrix multiplication, convolution, and so forth, [21, 22].
As with other languages, libraries simplify application development and handle commonly used methods such as linear algebra, matrix operations, and the Fast Fourier Transform FFTT).
Since each CAS has interfaces that can execute algebraic calculus operations such as derivative, integral, matrix, and determinant, they can be regarded as a kind of calculating machine that provides convenience for mathematicians.
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