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24 Jul 2018: wavelets) called sparsitybasis. This means that its vector of coefficients x = Φf has at mosts nonzero entries. ... Fig. 5 shows theabsolute values of the entries of the matrix U for three examples.

18 Dec 2023: 6. Hence, we will strengthen assumption (4.1) with the bounds (4.2) for the entries of Unij and bni. ... It follows that each entry of x̃S isnon-zero and that s(x̃)S = s(x)S and so,.

28 Feb 2012: Its redeeming virtue (and abasic requirement of any numerical method) is that it can be rendered in an algorithmicmanner, suitable for computation. ... Convergence is a necessary requirement of a method for ODEs: given a compactinterval [t0, t. ],

19 Jun 2014: Now we flip x to obtain a vectorx′ with reverse entries, x′i = xNi, i = 1,. ... Fig. 5 shows the absolute values ofthe entries of the matrix U for three examples.

5 Oct 2013: Because of the stringent requirements placed on thereconstruction basis, spectral reprojection consequently affords little flexibility to the user. ... Then En,m =‖B‖, where B Cnn is the Hermitian matrix. with (j, k)th entry 〈φj Pmφj , φk

10 Jul 2015: 2. For an operator Q which permutes entries of vectors in Cn such that. ... 2. The requirement that the RIPL constant is sufficiently small is dependent onηs,M and.

22 Mar 2012: thefunctionf. These requirements are crucial for theFilon-typemethod and hencealso for WRF methods which employ Filon quadrature rule for discretization,Theorems1.3and3.1, exceptamore comprehensiveTheorem4.1 for anarbitrarymatrix and quadrature.

13 Jun 2009: We write V [i] for the k k matrix with (r, s)th entry p̂s[i]m(r). ... s2. }π. After appropriate premultiplication by non-singular diagonal matrices, we obtain matrices with (r, s)th entries.

1 Sep 2011: αp ofU. The sequence (s) stands for all entries but one numbered s. ... U(α,β) 0 α,β. As was already mentioned, by indices we mean sequences with increasing entries.

29 Jan 2019: In other words, one can introduce zeros in the column below the diagonal entry. ... many non-zero entries in each column then we can replace WOT convergence by SOT convergence.

3 Oct 2005: Feiωg. ]= feiωg then computing Ig[f, (a,b)] is trivial. We can rewrite this requirement. ... Though it is often more accuratethan a Levin-type method, the requirement of knowing moments makes it much less practical formultivariate integrals.

26 Mar 2014: l = 1,2,., (5). where π is a bijection that gives a nonincreasing rearrangement of the entries ofc(l), i.e. ... row (as opposed to row block) to be the maximum of its entries in that row.

23 Nov 2006: 105h D – otherwise the solution gets out of hand. This requirement to depress the step length(for non-A-stable methods) is characteristic of stiff equations.

2 Nov 2011: However, compressed sensing is currently only a finite-dimensional theory. It concerns the recoveryof vectors in some finite-dimensional space (typically RN or CN ) whose nonzero entries with respect to aparticular ... However, by the arguments given

5 Sep 2012: 11271186, by the Specialized Research Foundation for the Doctoral Program of Higher Educationunder Grant 20100091110033 and by the University Postgraduate Research and Innovation Projectof Jiangsu Province 2012 under Grant CXZZ12. ... Remark 3. It is

10 Dec 2010: Yet, as we shall now see, by dropping the requirement of consistency, we obtain areconstruction which circumvents the aforementioned issues associated with (3.2). ... This requirement is quite strong as we may verywell have thatW 6= H andS = H (e.g.

21 Oct 2014: Plug and Play BIOSes tend to look after this requirement automatically. ... rem = =rem = With some SCSI controllers it may be necessary to have =rem = SMARTDRV /DOUBLEBUFFER in Config.SYS in addition to the entry =rem = here.

12 Aug 2009: Otherwise, Υ has only 2nm1nonzero elements, and they are the diagonal entries. ... Thus, for 1min[n, mn1], there areexactly three nonzero entries in the -th column of Z with the values.

21 Jan 2016: the || nonzero entries are allowed tohave arbitrary locations in N, regardless of the reconstruction algorithm used [15]. ... In particular, condition (5.7) is the requirementon the magnitude of the off-diagonal entries of the matrix PMUPNUPM.

5 Oct 2013: Yet, as we shall now see, by dropping the requirement of consistency, we obtain areconstruction which circumvents the aforementioned issues associated with (3.2). ... This requirement is quite strong as we may verywell have that W /= H and S = H (e.g.