query: Orthonormal basis with specific norm
positive_passages.docid: 62065
positive_passages.text: Prove that $v_1, \dots v_n$ is a basis of V.
negative_passages.docid: 40941
negative_passages.text: Applications of Gröbner bases
negative_passages.docid: 149997
negative_passages.text: Convolution operator has norm 1 with respect to $L^2$ norm
negative_passages.docid: 145535
negative_passages.text: Product norm on infinite product space
negative_passages.docid: 123505
negative_passages.text: how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
negative_passages.docid: 92455
negative_passages.text: Orthonormalization of non-hermitian matrix eigenvectors
negative_passages.docid: 62590
negative_passages.text: Show norm preserving property and determine Eigenvalues
negative_passages.docid: 115331
negative_passages.text: Deriving the sub-differential of the nuclear norm
negative_passages.docid: 48579
negative_passages.text: How to find the orthogonal complement of a subspace?
negative_passages.docid: 151390
negative_passages.text: Let $q_1,q_2,q_3,q_4$ be orthonormal vectors in $\mathbb{R}^4$,$z_1,z_2,...,z_6$ orthonormal vectors in $\mathbb{R}^6$ and $A=z_1q_1^T + z_2q_2^T$.
negative_passages.docid: 144357
negative_passages.text: Choose $\rho$ such that $\rho$-norm minimizes the matrix condition number
negative_passages.docid: 57619
negative_passages.text: Norms Induced by Inner Products and the Parallelogram Law
negative_passages.docid: 6319
negative_passages.text: Finding an orthonormal basis for a matrix
negative_passages.docid: 17517
negative_passages.text: Efficient implementation of tensorial Rayleigh product
negative_passages.docid: 88013
negative_passages.text: injective linear transformation basis.
negative_passages.docid: 117175
negative_passages.text: Proof that the 2-norm of orthogonal transformation of a matrix is invariant
negative_passages.docid: 65840
negative_passages.text: Norm induced by metric