reduced row echelon form is sometimes called Gauss–Jordan elimination. In this case, the term Gaussian elimination refers to the process until it has reached...

Gaussian elimination, also known as row reduction or Gaussian method Gauss–Jordan elimination Gauss–Seidel method Gauss's cyclotomic formula Gauss's lemma...

Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician...

(Handbook of Geodesy). He is remembered among mathematicians for the Gauss–Jordan elimination algorithm, with Jordan improving the stability of the algorithm...

Trimble, S. Y. (1 January 1991). "Gram-Schmidt Orthogonalization by Gauss Elimination". The American Mathematical Monthly. 98 (6): 544–549. doi:10.2307/2324877...

order and applied it to questions of elimination theory; he proved many special cases of general identities. Gauss (1801) made the next advance. Like Lagrange...

HWB (and FKF) method. The optimal solution may also be obtained by Gauss elimination using other sparse-matrix techniques or some iterative methods based...

solutions to Sudoku puzzles." An alternative approach is the use of Gauss elimination in combination with column and row striking. Let Q be the 9x9 Sudoku...

decreasing or eliminating a remnant magnetic field. It is named after the gauss, a unit of magnetism, which in turn was named after Carl Friedrich Gauss. Due to...

refer to: Gaussian elimination for solving systems of linear equations Gauss's algorithm for Determination of the day of the week Gauss's method for preliminary...

from Gauss guns, although many works of science fiction have erroneously confused the two. A coil gun uses electromagnetic acceleration whereas Gauss guns...

the end of the 19th century, the Gauss–Jordan elimination (generalizing a special case now known as Gauss elimination) was established by Wilhelm Jordan...

as given by the equation of straight line. Standard method like Gauss elimination can be used to solve the matrix equation for W {\displaystyle W} ...

Banachiewicz in 1938. To quote: "It appears that Gauss and Doolittle applied the method [of elimination] only to symmetric equations. More recent authors...

The shoelace formula, also known as Gauss's area formula and the surveyor's formula, is a mathematical algorithm to determine the area of a simple polygon...

Euler, but the first full systematic treatment was given by Carl Friedrich Gauss (1813). Studies in the nineteenth century included those of Ernst Kummer (1836)...

operations are used in Gaussian elimination to reduce a matrix to row echelon form. They are also used in Gauss–Jordan elimination to further reduce the matrix...

{\displaystyle n_{2}^{2}} , n 3 2 {\displaystyle n_{3}^{2}} , using the Gauss elimination method which yields n 1 2 = τ n 2 + ( σ n − σ 2 ) ( σ n − σ 3 ) (...

University in 1877 using a Gauss lens;: 117  although Gauss had designed the optics to eliminate spherical aberration for different wavelengths, the Clarks...

Frobenius matrices is Gauss transformation matrix, after Carl Friedrich Gauss. They are used in the process of Gaussian elimination to represent the Gaussian...

floating point intensive applications that at this point in time used Gauss Elimination to solve simultaneous linear equations buy which today are solved...

variant of Gaussian elimination that transforms a matrix to reduced row echelon form is sometimes called Gauss–Jordan elimination. A matrix is in column...

Fourier–Motzkin elimination, also known as the FME method, is a mathematical algorithm for eliminating variables from a system of linear inequalities....

Lobachevsky, János Bolyai, Carl Friedrich Gauss and Franz Taurinus. Unlike their predecessors, who just wanted to eliminate the parallel postulate from the axioms...

finite element analysis. Algorithms of this kind are variants of Gauss elimination that automatically avoids a large number of operations involving zero...

modification of Ampère's circuital law is important because the laws of Ampère and Gauss must otherwise be adjusted for static fields.[clarification needed] As a...

simplest of which are Gaussian elimination and Gauss–Jordan elimination. The following computation shows Gauss–Jordan elimination applied to the matrix above:...

In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the...

variational formulation of classical mechanics enunciated by Carl Friedrich Gauss in 1829, equivalent to all other formulations of analytical mechanics. Intuitively...

include Gauss distribution, Laplace-Gauss distribution, the law of error, the law of facility of errors, Laplace's second law, and Gaussian law. Gauss himself...