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101.
102.
Gelmini and Roncadelli have proposed a model of neutrino masses in which B?L symmetry is spontaneously broken by a small vacuum expectation value of a Higgs triplet. We give an exegesis of this model. We show that the massive neutrinos in this model cannot be cosmologically relevant today and that conflicting analyses of double beta decay experiments can be reconciled. 相似文献
103.
Letf
0(x) be a function of one variable with a simple zero atr
0. An iteration scheme is said to be locally convergent if, for some initial approximationsx
1, ...,x
s nearr
0 and all functionsf which are sufficiently close (in a certain sense) tof
0, the scheme generates a sequence {x
k} which lies nearr
0 and converges to a zeror off. The order of convergence of the scheme is the infimum of the order of convergence of {x
k} for all such functionsf. We study iteration schemes which are locally convergent and use only evaluations off,f, ...,f
[d] atx
1, ...,x
k–1 to determinex
k, and we show that no such scheme has order greater thand+2. This bound is the best possible, for it is attained by certain schemes based on polynomial interpolation.This work was supported (in part) by the Office of Naval Research under contract numbers N0014-69-C-0023 and N0014-71-C-0112. 相似文献
104.
105.
Shmuel Friedland 《Linear and Multilinear Algebra》1978,6(2):123-143
It Is shown here that a permanent of n× ndoubly stochastic matrix is not less than 1/ n!. The proof of this inequality follows from the study of a generalized van der Waerden problem on the set of doubly stochastic matrices. 相似文献
106.
Let 6x6 be a norm on Cn. For A?Mn(C) denote by 6A6 the induced norm of A, by ?(A) the spectral radius of A. It is proved here that if infp6PAP?16 = ?(A), then 6x6 is a transform absolute norm. 相似文献
107.
Archive for Rational Mechanics and Analysis - 相似文献
108.
Jean François Mertens Shmuel Zamir 《Journal of Mathematical Analysis and Applications》1977,60(2):550-558
Given P and Q convex compact sets in RkandRs, respectively, and u a continuous real valued function on P × Q, we consider the following pair of dual problems: Problem I—Minimize ? so that ?: . Problem II—Maximize g so that g: P × Q → R and g ? Vexq × Cavpmin(u, g). Here Cavp is the operation of concavification of a function with respect to the variable p?P (for each fixed q?Q). Similarly, Vexq is the operation of convexification with respect to q?Q. Maximum and minimum are taken here in the partial ordering of pointwise comparison: . It is proved here that both problems have the same solution which is also the unique simultaneous solution of the following pair of functional equations: (i) . (ii) . The problem arises in game theory, but the proof here is purely analytical and makes no use of game-theoretical concepts. 相似文献
109.
110.
Black hole formation is an inevitable consequence of relativistic core collapse following the gravothermal catastrophe in self-interacting dark matter (SIDM) halos. Very massive SIDM halos form supermassive black holes (SMBHs) > or about 10(6)M(middle dot in circle) directly. Smaller halos believed to form by redshift z = 5 produce seed black holes of (10(2)-10(3))M(middle dot in circle) which can merge and/or accrete to reach the observational SMBH range. This scenario for SMBH formation requires no baryons, no prior star formation, and no other black hole seed mechanism. 相似文献