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This approach simplifies the mathematical model, reduces the matrix operations and improves the speed of computation.
This work bridges the gap between matrix operations and loop iteration, preserving flexibility and efficiency in program testing.
Explicit plasticity equations are derived so as to avoid the most involving matrix operations and attain faster computations.
The class provides extensive practice in the use of both basic and advanced matrix operations and concepts towards data science through theoretical problem sets.
Efficiency of matrix applications in parallel processing environments relies on two factors: speed of primitive matrix operations and layout of distributed arrays.
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).
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Each function executes a certain matrix operation and needs to receive the arguments to be used (matrices).
This new detection order can be obtained by only one pseudo-inverse matrix operation, and thus it can be very effective in the MIMO systems with a large number of antennas.
This paper presents the multiprocessor architecture of the Simultaneous Optical Multiprocessor Exchange Bus (SOME-Bus), and examines the performance of representative algorithms for matrix operations, merging and sorting, using the message-passing and distributed-shared-memory paradigms.
The other two matrix operations, addition and scalar multiplication, are done as in the case of vectors.
When translating single-node algorithms to run on a distributed cluster, we observe that often a simple idea is enough: separating matrix operations from vector operations and shipping the matrix operations to be ran on the cluster, while keeping vector operations local to the driver.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com