条目有效算法插值方法错误控制并行化与univariate 和 multivariate 多项式条目计算一个矩阵的决定因素在地的科学计算并且设计经常产生.这份报纸建议一个有效算法用混合符号,数字的计算与多项式条目计算一个矩阵的决定因素.算法为解决 Vandermonde 系统与错误控制依靠牛顿插值方法.作者也介绍度矩阵为尺寸减小与多项式条目,和度同...
Computing the determinant of a matrix with polynomial entries by approximation Computing the determinant of a matrix with the univariate and multivariate polynomial entries arises frequently in the scientific computing and engineering... X Qin,Z Sun,T Leng,... - 《Journal of Systems Science & Compl...
polynomial divisionandgreatest common divisors), we will realize that basically every definition, proof and proposition in those lectures is valid also for matrix polynomials. The reason is that, even if we lose some properties of fields when we deal with matrices, we do not need those properties...
Prove: If the entries in each row of an n \times n matrix A add up to zero, then the determinant of A is zero. (Hint: consider the product ax, where x is the n \times 1 matrix, each of whose entries is one.) Prov...
LinearAlgebra ToeplitzMatrix construct a Toeplitz Matrix Calling Sequence Parameters Description Examples Calling Sequence ToeplitzMatrix( V , r , sym , cpt , options ) Parameters V - name, Vector or a list of algebraic values; entries in the Toeplitz...
Sign up with one click: Facebook Twitter Google Share on Facebook Hermitian matrix Encyclopedia Wikipedia Related to Hermitian matrix:Unitary matrix,Skew Hermitian matrix,Hermitian operator n (Mathematics)mathsa matrix whose transpose is equal to the matrix of the complex conjugates of its entries ...
We study the smallest singular value of a square random matrix with i.i.d. columns drawn from an isotropic log-concave distribution. An important example is obtained by sampling vectors uniformly dis- tributed in an isotropic convex body. We deduce that the condition number of such matrices is...
A Polynomial Matrix in Computer Science refers to a matrix whose entries are polynomials in a variable. It can be expressed as a sum of polynomial terms, with the order of the polynomial matrix determined by the highest power of the variable. Polynomial matrices are important in MIMO systems ...
Let Un be a unitary n×n matrix with complex entries and MUn={B∈Cn×n:B=Un*ΔUnisblockdiagonalmatrix}. For pairwise orthogonal projections Pnk, k=1,…,mn in Cn×n such that ∑k=1mnPnk=In, the identity matrix, let Ψ(A)=∑k=1mnPnkAPnkforeveryA∈Cn×n. The preconditioner ...
then the nonzero entries of the Jacobi matrix X_P are (X_P)_{k,k} = \alpha _{k-1}, (X_P)_{k+1,k} = (X_P)_{k,k+1} = \beta _{k-1}. As u and v are polynomial it is now straightforward to define U and V by \begin{aligned} u(x)\textbf{P}(x)&= \textbf{P...