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Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations such as vector addition, scalar multiplication, dot products, linear combinations, and matrix multiplication.
Distributed with the latest version of BLAST, this wrapper facilitates parallelization of the algorithm on modern hybrid architectures with many nodes and many cores within each node. [2] Protein: Burdyshaw CE, Sawyer S, Horton MD, Brook RG, Rekapalli B: 2017 CS-BLAST: Sequence-context specific BLAST, more sensitive than BLAST, FASTA, and SSEARCH.
Object Oriented Finite EleMent solver, written in C++: Bořek Patzák: 2.5: 2017-12-30: GPL Version 2: Free: Unix, Windows: OpenSees: Open System for Earthquake Engineering Simulation: 3.3.0: 2021-05-24: Non Commercial: Free: Unix, Linux, Windows: SESAM (FEM) Software suite for structural and hydrodynamic analysis of ships and offshore ...
Scores for each position are obtained frequencies of substitutions in blocks of local alignments of protein sequences. [7] BLOSUM r The matrix built from blocks with less than r% of similarity E.g., BLOSUM62 is the matrix built using sequences with less than 62% similarity (sequences with ≥ 62% identity were clustered together).
Kantorovich in 1948 proposed calculating the smallest eigenvalue of a symmetric matrix by steepest descent using a direction = of a scaled gradient of a Rayleigh quotient = (,) / (,) in a scalar product (,) = ′, with the step size computed by minimizing the Rayleigh quotient in the linear span of the vectors and , i.e. in a locally optimal manner.
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An alternative way to eliminate taking square roots in the decomposition is to compute the LDL decomposition =, then solving = for y, and finally solving =. For linear systems that can be put into symmetric form, the Cholesky decomposition (or its LDL variant) is the method of choice, for superior efficiency and numerical stability.
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