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...her=SIAM |isbn=0-89871-360-9}}</ref> It is similar to the [[singular value decomposition]], but typically somewhat<ref name="Chandrasekaran" /> cheaper to compute a ...that only its top-left <math>r\times r</math> block is nonzero, making the decomposition rank-revealing. ...

...ng genus distribution,<ref name="jlg2">Gross 2011</ref> and [[Hamiltonian decomposition]]s. ...ition into [[Hamiltonian path]]s, then those edges also form a Hamiltonian Decomposition in <math>H</math>. ...

...poloidal–toroidal decomposition''' is a restricted form of the [[Helmholtz decomposition]]. It is often used in the [[spherical coordinates]] analysis of [[solenoid This [[vector decomposition|decomposition]] is symmetric in that the curl of a toroidal field is poloidal, and the cu ...

...computer science]], '''variable splitting''' is a [[Matrix decomposition | decomposition]] method that [[relaxation technique (mathematics)|relaxes]] a set of [[Con ...M. Guignard and S. Kim introduced the same idea under the name "Lagrangean Decomposition" (their papers appeared in 1987).<ref name="Guignard"/> ...

...e of a polynomial|degree]] greater than 1; it is an algebraic [[functional decomposition]]. [[Algorithms]] are known for decomposing [[univariate polynomial]]s in [ ...f name="ritt"/><ref>Capi Corrales-Rodrigáñez, "A note on Ritt's theorem on decomposition of polynomials", ''Journal of Pure and Applied Algebra'' '''68''':3:293–296 ...

...her Re and Jude Shavlik |title=Scaling Inference for Markov Logic via Dual Decomposition |conference=2012 IEEE 12th International Conference on Data Mining |citesee Major MRF [[Optimization problem|Optimization]] methods are based on [[Graph cuts in computer vision|Graph cuts]] or [[Message pass ...

...applied to solve such equations. The algorithm works by using the [[Schur decomposition|real Schur decompositions]] of <math>A</math> and <math>B</math> to transfo 1.Compute the [[Schur decomposition|real Schur decompositions]] ...

'''Numerical methods for linear least squares''' entails the [[numerical analysis]] of [[linear ...ank]], the normal equations can be solved directly by using the [[Cholesky decomposition]] ''R''^T''R'', where ''R'' is an upper [[triangular matrix]], gi ...

...Eisenbud |title=Commutative Algebra, Algebraic Geometry, and Computational Methods |url=https://books.google.com/books?id=CR7vAAAAMAAJ |date=1 July 1999 |publ ...{{=}} <var>n_s</var>}}, respectively. The lower-order subsystem decomposition satisfies ...

...] and methods based on the [[singular value decomposition]] (SVD). Several methods for solving Wahba's problem are discussed by Markley and Mortari. One solution can be found using a singular value decomposition (SVD). ...

...svg|thumb|alt=A graph illustrating the decomposition.|Using Blinder–Oaxaca decomposition one can distinguish between "change of mean" contribution (purple) and "cha ...osition''' ({{IPAc-en|ˈ|b|l|aɪ|n|d|ər|_|w|ɑː|ˈ|h|ɑː|k|ɑː}}) or '''Kitagawa decomposition''', is a [[statistical method]] that explains the difference in the [[mean] ...

...methods is to create results in MD case by extend the 1-D case. Polyphase decomposition and maximally decimated reconstruction systems are already carried out. ...lled a maximally decimated filter bank. To analyze filter banks, polyphase decomposition is used. ...

title=Interval methods for nonlinear identification and robust control| == Decomposition == ...

...or_One.pdf|journal =Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Moscow, 1990) |date=1991|publisher=SIAM ...io |url=https://www.worldcat.org/oclc/40838704 |title=Domain decomposition methods for partial differential equations |last2=Valli |first2=Alberto |date=1999 ...

...this decomposition, which is also known as HX decomposition. The discrete decomposition decomposes a discrete Sobolev space function into a discrete component of h ...r, this approach will also be instrumental in developing optimal iterative methods in structural mechanics, electrodynamics, and modeling of complex flows. ...

'''Benders decomposition''' (or '''Benders' decomposition''') is a technique in [[mathematical programming]] that allows the solutio ...the approach is called "''row'' generation". In contrast, [[Dantzig–Wolfe decomposition]] uses "[[column generation|''column'' generation]]". ...

...decomposition]]s.<ref>{{Cite journal|date=2013-05-01|title=General tensor decomposition, moment matrices and applications|url=https://www.sciencedirect.com/science * [[Tensor rank decomposition]];<ref>{{Cite book |last=Papalexakis |first=Evangelos E. |chapter=Automatic ...

...tors|closed linear operator]] is called '''normal''' if the space admits a decomposition into a direct sum of a finite-dimensional [[generalized eigenspace]] and an |title=Methods of modern mathematical physics, vol. IV. Analysis of operators ...

...are the composition of <math>k</math> oriented reflections, the invariant decomposition theorem reads<blockquote>Every <math>k</math>-reflection can be decomposed It is named the invariant decomposition because these factors are the invariants of the <math>k</math>-reflection < ...

== Methods == Sub-Band Decomposition ICA (SDICA) is based on the fact that [[wideband]] source signals are depen ...