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991.
Compound matrices are encountered in many fields such as Matrix Theory, Systems Theory, Control Theory, etc. In the present
paper we develop an efficient algorithm computing the Smith normal form of compound matrices. This algorithm is based on a
new theorem establishing an equivalence relation between the Smith normal form of the compounds of a given matrix and the
compounds of the Smith normal form of the given matrix.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
992.
Summary. We study the almost sure limiting behavior of the smallest maximal increment of partial sums of independent identically distributed random variables for a variety of increment sizes , where is a sequence of integers satisfying , and going to infinity at various rates. Our aim is to obtain universal results on such behavior under little or no assumptions
on the underlying distribution function.
Received: 30 August 1995 / In revised form: 27 September 1996 相似文献
993.
994.
995.
Generalized cardinal B-splines are defined as convolution products of characteristic functions of self-affine lattice tiles
with respect to a given integer scaling matrix. By construction, these generalized splines are refinable functions with respect
to the scaling matrix and therefore they can be used to define a multiresolution analysis and to construct a wavelet basis.
In this paper, we study the stability and linear independence properties of the integer translates of these generalized spline
functions. Moreover, we give a characterization of the scaling matrices to which the construction of the generalized spline
functions can be applied. 相似文献
996.
Zbigniew Slodkowski 《Journal of Geometric Analysis》1997,7(4):637-651
We consider an arbitrary real analytic family Xz,
, over the closed unit disc
, of real analytic plane Jordan curves Xz. Ifj
e
iθ
,e
iθ
∋ ∂D, is an arbitrary real-analytic family of orientation-reversing homeomorphisms of
fixingX
e
iθ
pointwise, we show that there is a unique holomorphic motion of
extending the given motion of Jordan curves and consistent with the given family of involutions. If these generalized reflections
are defined using the barycentric extension construction of Douady-Earle-Nag, then the resulting extension method for holomorphic
motions of X is natural, that is Moebius-invariant and continuous with respect to variation of the given motion of X0. 相似文献
997.
Rong-Qing Jia 《Constructive Approximation》1997,13(2):251-260
By providing a counterexample we show that there exists a shift-invariant spaceS generated by a piecewise linear function such that the union of the corresponding scaled spacesS
h (h>0) is dense inC
0(R
2) butS does not contain a stable and locally supported partition of unity. This settles a question raised by C. de Boor and R. DeVore
a decade ago. 相似文献
998.
We present a novel variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow in , d ≥ 2. This new formulation leads to an unconditionally stable, fully discrete, parametric finite element approximation in
the case d = 2 or 3. The resulting scheme has very good properties with respect to the distribution of mesh points and, if applicable,
volume conservation. This is demonstrated by several numerical experiments for d = 3, including regularized crystalline mean curvature flow and regularized crystalline surface diffusion. 相似文献
999.
Jorge García-Melián Julio D. Rossi José C. Sabina de Lis 《Calculus of Variations and Partial Differential Equations》2008,31(2):187-204
In this work we consider the behaviour for large values of p of the unique positive weak solution u
p
to Δ
p
u = u
q
in Ω, u = +∞ on , where q > p − 1. We take q = q(p) and analyze the limit of u
p
as p → ∞. We find that when q(p)/p → Q the behaviour strongly depends on Q. If 1 < Q < ∞ then solutions converge uniformly in compacts to a viscosity solution of with u = +∞ on . If Q = 1 then solutions go to ∞ in the whole Ω and when Q = ∞ solutions converge to 1 uniformly in compact subsets of Ω, hence the boundary blow-up is lost in the limit. 相似文献
1000.
We prove L p Poincaré inequalities with suitable dimension free constants for functions on the discrete cube {?1, 1} n . As well known, such inequalities for p an even integer allow to recover an exponential inequality hence the concentration phenomenon first obtained by Bobkov and Götze. We also get inequalities between the L p norms of $ \left\vert \nabla f\right\vert We prove L
p
Poincaré inequalities with suitable dimension free constants for functions on the discrete cube {−1, 1}
n
. As well known, such inequalities for p an even integer allow to recover an exponential inequality hence the concentration phenomenon first obtained by Bobkov and
G?tze. We also get inequalities between the L
p
norms of and moreover L
p
spaces may be replaced by more general ones. Similar results hold true, replacing functions on the cube by matrices in the
*-algebra spanned by n fermions and the L
p
norm by the Schatten norm C
p
. 相似文献