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Solfège. In music, solfège (/ ˈsɒlfɛʒ /, French: [sɔlfɛʒ]) or solfeggio (/ sɒlˈfɛdʒioʊ /; Italian: [solˈfeddʒo]), also called sol-fa, solfa, solfeo, among many names, is a mnemonic used in teaching aural skills, pitch and sight-reading of Western music. Solfège is a form of solmization, though the two terms are sometimes used ...
Alternating-direction implicit method. In numerical linear algebra, the alternating-direction implicit (ADI) method is an iterative method used to solve Sylvester matrix equations. It is a popular method for solving the large matrix equations that arise in systems theory and control, [1] and can be formulated to construct solutions in a memory ...
Differential equation. In numerical analysis, a multigrid method (MG method) is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation ...
The multilevel fast multipole method (MLFMM) is used along with method of moments (MoM) a numerical computational method of solving linear partial differential equations which have been formulated as integral equations of large objects almost faster without loss in accuracy. [1] This method is an alternative formulation of the technology behind ...
Generalized minimal residual method. In mathematics, the generalized minimal residual method (GMRES) is an iterative method for the numerical solution of an indefinite nonsymmetric system of linear equations. The method approximates the solution by the vector in a Krylov subspace with minimal residual. The Arnoldi iteration is used to find this ...
Tonic sol-fa. Tonic sol-fa (or tonic sol-fah) is a pedagogical technique for teaching sight-singing, invented by Sarah Ann Glover (1785–1867) of Norwich, England and popularised by John Curwen, who adapted it from a number of earlier musical systems. It uses a system of musical notation based on movable do solfège, whereby every note is ...
Tridiagonal matrix algorithm. In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as. where and .
Lis (Library of Iterative Solvers for linear systems, pronounced [lis]) is a scalable parallel software library to solve discretized linear equations and eigenvalue problems that mainly arise from the numerical solution of partial differential equations using iterative methods. [1][2][3] Although it is designed for parallel computers, the ...