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searching for Commuting matrices 10 found (19 total)

Matrix pencil (700 words) [view diff] no match in snippet view article find links to article

In linear algebra, a matrix pencil is a matrix-valued polynomial function defined on a field K {\displaystyle K} , usually the real or complex numbers

Algebra representation (1,069 words) [view diff] exact match in snippet view article find links to article

k ] {\displaystyle \mathbf {F} [T_{1},\dots ,T_{k}]} in a set of commuting matrices, a weight vector of this algebra is a simultaneous eigenvector of

Stephen L. Adler (789 words) [view diff] exact match in snippet view article find links to article

matrix theory. In this matrix theory, particles are represented by non-commuting matrices, and the matrix elements of bosonic and fermionic particles are ordinary

Commutator (2,556 words) [view diff] exact match in snippet view article find links to article

linear algebra, if two endomorphisms of a space are represented by commuting matrices in terms of one basis, then they are so represented in terms of every

Spectral radius (3,197 words) [view diff] exact match in snippet view article find links to article

Gelfand's formula yields a bound on the spectral radius of a product of commuting matrices: if A 1 , … , A n {\displaystyle A_{1},\ldots ,A_{n}} are matrices

Matrix exponential (10,481 words) [view diff] exact match in snippet view article find links to article

exponential function satisfies ex+y = ex ey. The same is true for commuting matrices. If matrices X and Y commute (meaning that XY = YX), then, e X + Y

Werner Heisenberg (14,173 words) [view diff] exact match in snippet view article find links to article

Kramers-Heisenberg transition probability calculations. The main new idea, non-commuting matrices, is justified only by a rejection of unobservable quantities. It introduces

Discrete Fourier transform (12,333 words) [view diff] exact match in snippet view article find links to article

C., Ding, J. J., Hsue, W. L., & Chang, K. W. (2008). Generalized commuting matrices and their eigenvectors for DFTs, offset DFTs, and other periodic operations

Algebraic K-theory (10,647 words) [view diff] exact match in snippet view article find links to article

K_{1}(A)\cdots \ .} There is a pairing on K1 with values in K2. Given commuting matrices X and Y over A, take elements x and y in the Steinberg group with

Hermitian symmetric space (7,418 words) [view diff] exact match in snippet view article find links to article

form by an orthogonal matrix and this can be done simultaneously for commuting matrices. Type IVn: by a transformation in SO(n) × SO(2) any vector can be