Results 81 to 90 of about 10,056 (177)
Efficient Proximal Mapping Computation for Low-Rank Inducing Norms
, 2022 Low-rank inducing unitarily invariant norms have been introduced to convexify problems with a low-rank/sparsity constraint. The most well-known member of this family is the so-called nuclear norm.
Grussler, Christian, Giselsson, Pontus
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Residual bounds for unitarily invariant norms on clustered eigenvalues
, 1997 Let n × n Hermitian matrix A have eigenvalues λ1, λ2, …, λn, let k × k Hermitian matrix H have eigenvalues μ1, μ2, …, μk, and let Q be an n × k matrix having full column rank, so 1 ≤ k ≤ n. It is proved that there exist k eigenvalues λi1 ≤ λi2 … ≤ λik of
Xie, Jian-Jun, Jian-Jun Xie
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Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Mozgunov E, Lidar DA.
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G-invariant norms and G(c)-radii
, 1991 Let V be a finite dimensional inner product space over F(=R or C), and let G be a closed subgroup of the group of unitary operators on V. A norm or a seminorm ∥·∥ on V is said to be G-invariant if {norm of matrix}g(x){norm of matrix}=∥x∥ for all g ε ...
Li, Chi-Kwong +3 more
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On some inequalities related to Heinz means for unitarily invariant norms
Journal of Mathematical Inequalities, 2022 Wushu ng Liu, Xing ai Hu, Jianp ng Shi
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On the perturbation bound in unitarily invariant norms for subunitary polar factors
, 2008 Let Crm×n be the set of m×n complex matrices with rank r, and let A∈Crm×n and A∼=A+E∈Crm×n have the generalized polar decompositionsA=QHandA∼=Q∼H∼.In this article, a new perturbation bound for subunitary polar factors in any unitarily invariant norm is ...
Li, Wen
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UNITARILY INVARIANT NORMS ON FINITE VON NEUMANN ALGEBRAS
, 2018 John von Neumann’s 1937 characterization of unitarily invariant norms on the n × n matrices in terms of symmetric gauge norms on Cn had a huge impact on linear algebra. In 2008 his results were extended to Ifactor von Neumann algebras by J.
Fan, Haihui
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The stability of the unit balls of symmetric and unitarily invariant norms
, 1997 A compact convex set K is called stable if the midpoint mapping, K × K → K, (x, y) → (x + y)2, is open. The main result asserts that the stability of the closed unit ball of a unitarily invariant norm is equivalent to the stability of the closed unit ...
de Sá, Eduardo Marques
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Faces of the unit ball of a unitarily invariant norm
Linear Algebra and its Applications, 1994 See the review of the author's paper [ibid. 197-198, 429-450 (1994; Zbl 0808.15015)].
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Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities [PDF]
, 2015 We prove an inequality for unitarily invariant norms that interpolates between theArithmetic-Geometric Mean inequality and the Cauchy-Schwarz ...
Audenaert, Koenraad +1 more
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