pivot

(redirected from pivoting)
Also found in: Dictionary, Thesaurus, Medical, Financial, Encyclopedia, Wikipedia.

pivot around (something)

1. Literally, to rotate on and around some centered focal point. This car seat pivots around a fixed point, allowing you to get your baby or toddler in and out of the car with much less hassle. He pivoted around the heel of his left foot to do a roundhouse kick nearly 180 degrees behind him.
2. To depend on or revolve entirely around some key thing. The product's success is going to pivot around whether or not people feel comfortable linking their home appliances to the internet. Our entire marketing campaign pivots around this television ad, so we have to make sure it is written and cast perfectly.
3. To grow, develop, or spring from some focal point or idea. The entire film pivots around the income gap in our country and how it became so extreme.
See also: around, pivot

pivot on (something)

1. Literally, to rotate on and around some centered focal point. This car seat pivots on a fixed point, allowing you to get your baby or toddler in and out of the car with much less hassle. He pivoted on the heel of his left foot to do a roundhouse kick nearly 180 degrees behind him.
2. To depend on or revolve entirely around some key thing. The product's success is going to pivot on whether or not people feel comfortable linking their home appliances to the internet. Our entire marketing campaign pivots on this television ad, so we have to make sure it is written and cast perfectly.
3. To grow, develop, or spring from some focal point or idea. The entire film pivots on the income gap in our country and how it became so extreme.
See also: on, pivot

pivot on something

to rotate on something; to spin around, centered on something. This part spins around and pivots on this little red spot, which is what they call a jewel. If the lever will not pivot on the bar, it needs some lubrication.
See also: on, pivot

pivot on

or pivot around
v.
1. To rotate or spin around while remaining centered on some point: The chair pivots on a steel post.
2. To depend on something or someone for success or failure: This business deal pivots on whether or not we are willing to change the name of our product.
3. To develop from a central idea: The plot of the show pivots on the effects of drug addiction.
See also: on, pivot
References in periodicals archive ?
Figure 5.7 and Figure 5.8 show the accuracy for all factorization pivoting methods and all general and augmented indefinite systems.
The Figure plots the error [[parallel]x-1[parallel].sub.[infinity]] from both methods versus the relative error from a pivoting method that uses threshold Duff-Reid pivoting for the complete matrix.
This paper demonstrates the effectiveness of new pivoting methods for sparse symmetric indefinite systems.
The methods are based on maximum weighted matchings and improve the quality of the factor in a complementary way to the alternative idea of using more complete pivoting techniques during the factorization.
The threshold pivoting approach in Ma57 clearly has a precision advantage.
GILBERT, Maximum-weighted matching and block pivoting for symmetric indefinite systems, in Abstract book of Householder Symposium XV, June 17-212002, pp.
PRALET, Strategies for scaling and pivoting for sparse symmetric indefinite problems, SIAM J.
[14] --, Towards a stable static pivoting strategy for the sequential and parallel solution of sparse symmetric indefinite systems, Technical Report RAL-TR-2005-007, Rutherford Appleton Laboratory, 2005.
pivoting strategy of A or [A.sup.T], respectively, then [PAP.sup.T] = LDU, where L is a lower triangular matrix diagonally dominant by columns and U is an upper triangular matrix diagonally dominant by rows.
pivoting to [A.sup.T] (which is an M-matrix diagonally dominant by columns) and so, by the previous paragraph, there exists a permutation matrix P such that [PA.sup.T] [P.sup.T] = LDU, with L a lower triangular matrix diagonally dominant by columns and U an upper triangular matrix diagonally dominant by rows.
pivoting strategy consists of choosing as pivot row in each step the row whose elements give a maximal sum and it can be implemented in such a way that it costs O([n.sup.2]) elementary operations beyond the cost of Gauss elimination with no pivoting.
pivoting strategy (take into account that each of those components of [b.sup.(k).sub.1] gives the sum of the elements of the corresponding row of the submatrix of [A.sup.(k)] [k ..., n], which is also an M-matrix and so it has nonnegative diagonal entries and nonpositive off-diagonal entries).
The next example shows that applying symmetric complete pivoting to an M-matrix diagonally dominant by columns does not guarantee that the upper triangular factor is diagonally dominant, in contrast to the symmetric m.a.d.d.
pivoting, then [PAP.sup.T] = [L.sub.2][D.sub.2][U.sub.2], where
pivoting is diagonally dominant by rows and satisfies [[kappa].sub.[infinity]] ([U.sub.2]) [approximately equal to] 2.81.