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searching for Zero matrix 35 found (76 total)

Dual number (2,611 words) [view diff] exact match in snippet view article find links to article

(0100){\displaystyle {\begin{pmatrix}0&1\\0&0\end{pmatrix}}} squares to the zero matrix, corresponding to the dual number ε{\displaystyle \varepsilon }. There

QR decomposition (4,633 words) [view diff] exact match in snippet view article find links to article

} where R1 is an n×n upper triangular matrix, 0 is an (m − n)×n zero matrix, Q1 is m×n, Q2 is m×(m − n), and Q1 and Q2 both have orthogonal columns

Moore–Penrose inverse (7,421 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A^{+}=A^{+}AA^{+}} , since multiplication by a zero matrix would always produce a zero matrix. For A = ( 1 0 1 0 ) , {\displaystyle

Additive identity (697 words) [view diff] exact match in snippet view article find links to article

n(R) of m-by-n matrices over a ring R, the additive identity is the zero matrix, denoted O or 0, and is the m-by-n matrix whose entries consist entirely

Google matrix (1,773 words) [view diff] exact match in snippet view article find links to article

of outgoing links from node j to all other nodes. The columns having zero matrix elements, corresponding to dangling nodes, are replaced by a constant

Data General Extended BASIC (1,268 words) [view diff] no match in snippet view article find links to article

The system included a number of pre-rolled matrixes, like ZER for a zero-matrix, CON for a matrix of all 1's, and IDN for the identity matrix. Most mathematical

Generalized inverse (2,593 words) [view diff] exact match in snippet view article find links to article

has full column rank, the bracketed expression in this equation is the zero matrix and so the solution is unique. The generalized inverses of matrices can

Characteristic polynomial (2,871 words) [view diff] exact match in snippet view article find links to article

c{\displaystyle c} as c{\displaystyle c} times the identity matrix) yields the zero matrix. Informally speaking, every matrix satisfies its own characteristic equation

Vector fields on spheres (646 words) [view diff] exact match in snippet view article find links to article

the real n × n {\displaystyle n\times n} matrices, for which each non-zero matrix is a similarity transformation, i.e. a product of an orthogonal matrix

Matrix polynomial (695 words) [view diff] exact match in snippet view article find links to article

evaluated at the matrix A {\displaystyle A} itself, the result is the zero matrix: p A ( A ) = 0 {\displaystyle p_{A}(A)=0} . An polynomial annihilates

Stark effect (2,744 words) [view diff] exact match in snippet view article find links to article

and hence do not show a linear Stark effect. In order to obtain a non-zero matrix Vint for systems with an inversion center it is necessary that some of

Young tableau (2,871 words) [view diff] no match in snippet view article find links to article

must be distinguished from the 0-by-3 matrix B, since AB is a 3-by-3 (zero) matrix while BA is the 0-by-0 matrix, but both A and B have the same (empty)

Generalized singular value decomposition (3,574 words) [view diff] exact match in snippet view article find links to article

\Sigma _{2}} is not always diagonal, because of the leading rectangular zero matrix; instead Σ2{\displaystyle \Sigma _{2}} is "bottom-right-diagonal". There

Matrix norm (4,447 words) [view diff] exact match in snippet view article find links to article

and only if the matrix A {\displaystyle A} is a rank-one matrix or a zero matrix. ‖ A ‖ 2 = ρ ( A ∗ A ) ≤ ‖ A ∗ A ‖ ∞ ≤ ‖ A ‖ 1 ‖ A ‖ ∞ {\displaystyle

Spectrum of a ring (3,907 words) [view diff] exact match in snippet view article find links to article

T ] / ( T − 1 ) {\displaystyle K[T]/(T-1)\oplus K[T]/(T-1)} the 2×2 zero matrix has module K [ T ] / ( T − 0 ) ⊕ K [ T ] / ( T − 0 ) , {\displaystyle

Absorbing Markov chain (1,672 words) [view diff] exact match in snippet view article find links to article

where Q is a t-by-t matrix, R is a nonzero t-by-r matrix, 0 is an r-by-t zero matrix, and Ir is the r-by-r identity matrix. Thus, Q describes the probability

Cross-covariance matrix (1,237 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \operatorname {K} _{\mathbf {X} \mathbf {Y} }} matrix is a zero matrix.: 337 Complex random vectors Z {\displaystyle \mathbf {Z} } and W {\displaystyle

Logarithm of a matrix (2,749 words) [view diff] exact match in snippet view article find links to article

exponential map is a local diffeomorphism between a neighborhood U of the zero matrix 0_∈g{\displaystyle {\underline {0}}\in {\mathfrak {g}}} and a neighborhood

Cross-covariance matrix (1,237 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \operatorname {K} _{\mathbf {X} \mathbf {Y} }} matrix is a zero matrix.: 337 Complex random vectors Z {\displaystyle \mathbf {Z} } and W {\displaystyle

Square root of a 2 by 2 matrix (1,254 words) [view diff] exact match in snippet view article find links to article

determinant is zero, and its trace equals its rank, which (excluding the zero matrix) is 1. Then the above formula has s = 0 and τ = 1, giving M and −M as

Projective unitary group (2,202 words) [view diff] exact match in snippet view article find links to article

multiplication by a phase. As the unitary group does not contain the zero matrix, this action is free. Thus U(H){\displaystyle \mathrm {U} ({\mathcal

Wang BASIC (3,791 words) [view diff] exact match in snippet view article find links to article

commands include INVert, IDN for the identity matrix and ZER for the zero matrix, and various utilities like COPY, MERGE, MOVE and SORT. The introduction

Kronecker product (6,081 words) [view diff] exact match in snippet view article find links to article

=\mathbf {0} ,\end{aligned}}} where A, B and C are matrices, 0 is a zero matrix, and k is a scalar. Non-commutative: In general, A ⊗ B and B ⊗ A are

State-space representation (4,893 words) [view diff] exact match in snippet view article find links to article

direct feedthrough, D ( ⋅ ) {\displaystyle \mathbf {D} (\cdot )} is the zero matrix), dim ⁡ [ D ( ⋅ ) ] = q × p {\displaystyle \dim[\mathbf {D} (\cdot )]=q\times

Representation theory of SU(2) (3,397 words) [view diff] exact match in snippet view article

H~=~~~I~,\qquad X\,X~=~~~~O,\qquad Y\,Y~=~~O~~;} where O is the 2×2 all-zero matrix. Hence their commutation relations are [ H , X ] = 2 X , [ H , Y ] =

Constructing skill trees (1,425 words) [view diff] exact match in snippet view article find links to article

particle r_t := current_reward // Initialization if t = 0 then p.A := zero matrix(p.m, p.m) p.b := zero vector(p.m) p.z := zero vector(p.m) p.sum r :=

Tight binding (6,317 words) [view diff] exact match in snippet view article find links to article

functions is ignored.) Assuming only nearest neighbor overlap, the only non-zero matrix elements of the Hamiltonian can be expressed as ⟨n|H|n⟩=E0=Ei−U .{\displaystyle

Late modern period (15,469 words) [view diff] no match in snippet view article find links to article

than the zero points of those scales but still warmer than absolute zero). Matrix mechanics and wave mechanics supplanted other studies to end the era

Hadamard's maximal determinant problem (2,385 words) [view diff] exact match in snippet view article find links to article

A and D are both of size n/2 and equal to (n−2)I+2J while B is the zero matrix. This optimal form is unique up to multiplication of any set of rows

High resolution electron energy loss spectroscopy (2,725 words) [view diff] exact match in snippet view article find links to article

scattering cross section is only non-vanishing in the case of a non-zero matrix element ⟨i|pz|f⟩{\displaystyle \left\langle i\right|p_{z}\left|f\right\rangle

Weyr canonical form (2,451 words) [view diff] exact match in snippet view article find links to article

, P 3 , … {\displaystyle P_{1},P_{2},P_{3},\ldots } until the first zero matrix A r {\displaystyle A_{r}} is obtained. Step 5 The Weyr structure of A

Perron–Frobenius theorem (8,235 words) [view diff] exact match in snippet view article find links to article

&A_{h-1}\\A_{h}&O&O&O&\ldots &O\end{pmatrix}},} where O {\displaystyle O} denotes a zero matrix and the blocks along the main diagonal are square matrices. Collatz–Wielandt

Linear belief function (3,808 words) [view diff] exact match in snippet view article find links to article

moment matrix, we represent the vacuous linear belief functions as a zero matrix in the swept form follows: M(X→)=[00]{\displaystyle M({\vec

List of numerical analysis topics (8,344 words) [view diff] exact match in snippet view article find links to article

Convergent matrix — square matrix whose successive powers approach the zero matrix Algorithms for matrix multiplication: Strassen algorithm Coppersmith–Winograd

Spread (projective geometry) (3,892 words) [view diff] exact match in snippet view article

F{\displaystyle F} with the following properties: S{\displaystyle S} contains the zero matrix and the identity matrix For any two distinct matrices X{\displaystyle