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1
A global and
quadratically-convergent method for linear L ...
This method works on the piecewise linear l[subscript infinity] problem directly by generating descent directions -- via a sequence of weighted least squares problems -- and using piecewise linear linesearches to ensure a decrease in the ...
Thomas Frederick Coleman, Yuying Li,
1990
2
On Efficient Semidefinite Relaxations for
Quadratically ...
Two important topics in the study of Quadratically Constrained Quadratic Programming (QCQP) are how to exactly solve a QCQP with few constraints in polynomial time and how to find an inexpensive and strong relaxation bound for a QCQP with ...
3
Introduction to the Theory of Linear Nonselfadjoint Operators
M. Bases quadratic-ally close to orthonormal bases (Bari bases) " 1. From
Theorem 2.3 of N. K. Bari it follows in particular that each u)-linearly independent
sequence of vectors which is quadratically close to some orthonormal basis of
the ...
Israel Gohberg, Mark Grigorʹevich Kreĭn
4
Bilinear Algebra: An Introduction to the Algebraic Theory of ...
DEFINITION 9.1.2 A field K is said to be quadratically closed, if every element of
K is a square of an element of K, that is, if K = K2 . A field K is quadratically closed
if and only if the square class group K/K2 is a trivial (1— element) group.
Kazimierz Szymiczek,
1997
5
Sylow Theory, Formations, and Fitting Classes in Locally ...
Hence the result. D The field F is called quadratically closed if it has no non-trivial
extensions of degree 2. In particular every element of such a field has a square
root in the field. It is clearly not the case that a subfield of a quadratically closed ...
Martyn Russell Dixon,
1994
where [A(t) Bu(t)] 6 Co {[A, fl„,i], . .. , [AL Btt,L]} . (47.31) Our objective is to design
the matrix K such that (47.30) is quadratically stable. This is the "quadratic
stabilizability" problem. System (47.30) is quadratically stable for some state-
feedback ...
7
Field and Galois Theory
To see that K is quadratically closed, suppose that L/K is a quadratic extension,
and say L = K(y/a) for some a G K. Then a G E for some finite Galois
subextension E. By the argument above, we have [E : F] = 2r for some r. The
extension E(Va)/E ...
8
Applied Mathematics: Body and Soul: Volume 1: Derivatives ...
25.4 Newton's Method Converges Quadratically 395 small as possible. The ideal
would be g'(x) = 0. Differentiating the equation g(x) = x — a(x)f(x) with respect to x
, we get g'(x) = 1 - a'(x)f(x) - a(x)f'(x). Assuming that f'(x) ^ 0, and using f(x) = 0, ...
Kenneth Eriksson, Donald Estep, Claes Johnson,
2004
9
The Algebraic and Geometric Theory of Quadratic Forms
Therefore, we do the two cases separately. 31. A. Nonformally real fields. We
consider the case of nonformally real fields first. A field F is called quadratically
closed if F = F2. For example, algebraically closed fields are quadratically closed.
Richard S. Elman, Nikita Karpenko, Alexander Merkurjev
10
Nonlinear Control Systems 2004
A matrix function A(z) 6 Rnxn is called quadratically stable over Z if for some V =
VT > 0 and Q = QT > 0 VA{z) + A{z)TV < -Q Vz€Z. (10) Definition 2. A pair of matrix
functions A(z) € Rnxn and B{z) G RnXp is said to be quadratically stabilizable ...
Frank Allgöwer, Michael Zeitz,
2005
ȘTIRI NOI CARE INCLUD TERMENUL «QUADRATICALLY»
Află ce ziare naționale și internaționale au scris despre și cum este întrebuințat termenul
quadratically în contextul următoarelor știri.
Professor's laser-based space energy system generates a patent
"This transmission distance increases quadratically with the radii of the transmitting and receiving apertures, which are assumed equal here. "What we have ... «Phys.Org, Iun 15»
Air pressure and track skills will be vital for Wiggins' Hour Record
"As the speed increases, the air resistance and drag becomes fundamental because it grows quadratically from the speed. That's why even tiny variations of the ... «Cyclingnews.com, Iun 15»
NBA Playoffs Preview: LeBron vs. The Super-Balanced Hawks
(As measured by the distribution of WAR among the five players with the most minutes through the first two rounds, weighted quadratically.) By that measure, the ... «FiveThirtyEight, Mai 15»
Humans are doing democracy wrong. Bees are doing it right
Seeley's research shows that the time they spend on dances grows not linearly but quadratically in proportion to the attractiveness of the site they encountered. «Spectator.co.uk, Mai 15»
Nuisance flooding of coastal cities is a growing reality
As the mean sea level increases, so does the extreme sea level, he noted, especially since the mean is expected to rise not in linear fashion but quadratically. «environmentalresearchweb, Feb 15»
How Supercomputing Is Cracking The Mysteries Of Human Origins
The number of computer operations grew quadratically over time—for every N samples of test data, there needed to be N^2 operations. Schraiber and Beagle ... «Popular Science, Nov 14»
The Fermi Paradox, Self-Replicating Probes, and the Interstellar …
The number of stars within a single species' collective, ξ, scales cubically with radius out to the galactic thickness (∼1000ly), and quadratically thereafter, and ... «h+ Magazine, Nov 14»
The Pros and Cons of Divvy's New Expansion Map
... then its usefulness increases quadratically, not linearly, with local station density. ... expect ridership, up to a point, to grow quadratically with station density. «Streetsblog Chicago, Aug 14»
Resonance-enhanced harmonics for probing molecular electrons
While the 11th harmonic saturates for P×L>20 torr-mm, the RES intensity increases quadratically, indicating a phase-matched generation process. The pulse ... «SPIE Newsroom, Aug 14»
After Super Bowl, NFL Drafts Gurobi to Help Optimize Next Season's …
The Gurobi Optimizer is a state-of-the-art solver for linear programming (LP), quadratic programming (QP), quadratically constrained programming (QCP), ... «PR Web, Mar 14»