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There are modifications of the method for nonsymmetric matrices A.
Furthermore, a Petrov-Galerkin method may be required in the nonsymmetric case.
Or really the way to say it is symmetric versus asymmetric, that is, nonsymmetric.
A general (nonsymmetric) tensor can always be decomposed into a symmetric and an antisymmetric part.
Although he initially assumed a symmetric affine connection, like Einstein he later considered the nonsymmetric field.
Moffat's work culminates in his nonsymmetric gravitational theory and scalar-tensor-vector gravity (now called MOG).
For nonsymmetric distributions, the pseudomedian is defined as the median of all of the midpoints of pairs of observations.
Majumdar-Papapetrou geometries generalize axially symmetric solutions to Einstein-Maxwell equations found by Hermann Weyl to a completely nonsymmetric and general case.
The Jacobi Method has been generalized to complex Hermitian matrices, general nonsymmetric real and complex matrices as well as block matrices.
In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a nonsymmetric system of linear equations.
Applying a Newton or Picard iteration produces a system of linear equations which is nonsymmetric in the presence of advection and indefinite in the presence of incompressibility.
In a paper to be published next week, a large Japanese and American team reports the discovery of a nonsymmetric effect in the arrival of neutrinos at the Super Kamiokande detector.
In the setting of non-Σ operads (also termed nonsymmetric operads, operads without permutation), an operad A is Aif all of its spaces A(n) are contractible.
In theoretical physics, the nonsymmetric gravitational theory (NGT) of John Moffat is a classical theory of gravitation which tries to explain the observation of the flat rotation curves of galaxies.
Y. Saad and M.H. Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems", SIAM J. Sci.
In 1955, M. Berger gave a complete classification of possible holonomy groups for simply connected, Riemannian manifolds which are irreducible (not locally a product space) and nonsymmetric (not locally a Riemannian symmetric space).
As the electromagnetic field is characterized by an antisymmetric rank-2 tensor, there is an obvious possibility for a unified theory: a nonsymmetric tensor composed of a symmetric part representing gravity, and an antisymmetric part that represents electromagnetism.
Moffat is best known for his work on gravity and cosmology, culminating in his nonsymmetric gravitational theory and scalar-tensor-vector gravity (now called MOG), and summarized in his 2008 book for general readers, Reinventing Gravity.
In numerical linear algebra, the biconjugate gradient stabilized method, often abbreviated as BiCGSTAB, is an iterative method developed by H. A. van der Vorst for the numerical solution of nonsymmetric linear systems.
Finally (and more technically) Born-Infeld theory can be seen as a covariant generalization of Mie's theory, and very close to Einstein's idea of introducing a nonsymmetric metric tensor with the symmetric part corresponding to the usual metric tensor and the antisymmetric to the electromagnetic field tensor.
Normally, the brain is very nonsymmetrical and the left side dominates.
It had a nonsymmetrical shape, accentuated by the precision of the cells themselves.
This time there was no escape valve up through the weak, nonsymmetrical, semisolid layers.
She was watching them play a strange sort of tennis with nonsymmetrical balls that took weird rebounds from the court walls.
In many cases, handed behavior is related to nonsymmetrical body parts or some asymmetry in the function of an animal's nervous system.
This was because, unlike the half-dead, trolls drew their powers from nature, particularly from trees and certain nonsymmetrical crystalline rocks like quartz.
This reflector refocuses the rays and sends them downward to a tertiary reflector 26 feet wide, which also has a nonsymmetrical concave shape.
And then there are "Nonsymmetrical dyadic relations," "Sunspots" and "Requirements for valid maritime insurance contracts."
Some of the stalagmites had simply grown into the domed covering, forming nonsymmetrical columns; others, having aspired to such heights, apparently lacked the chemistries to attain full melding.
Later in the book, for instance, readers are expected to consider such arcane concepts as "nonsymmetrical internal space" and theories of force involving many dimensions, not just the familiar three, with few comparative references to help them along.
Incredibly, that's all we began with: a detailed description of what became the prototype Motie, the Engineer: an attempt to build a nonsymmetrical alien, left over from a Niven story that never quite jelled.
They next enter a gaping hole in the bottom of the suspended receiver dome and strike the secondary reflector, a 72-foot-diameter metal structure with a nonsymmetrical concave face; it looks something like the gigantic fragment of an egg shell.
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