A new alternating positive semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models
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DOI: 10.1007/s11464-018-0679-y
Abstract: Based on the special positive semidefinite splittings of the saddle point matrix, we propose a new alternating positive semidefinite splitting (APSS) iteration method for the saddle point problem arising from the finite element discretization of… read more here.
Keywords: topology; positive semidefinite; preconditioner; saddle point ... See more keywords
Simultaneous kernels of matrix Hadamard powers
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DOI: 10.1016/j.laa.2018.03.035
Abstract: Abstract In previous work Belton et al. (2016) [2] , the structure of the simultaneous kernels of Hadamard powers of any positive semidefinite matrix was described. Key ingredients in the proof included a novel stratification… read more here.
Keywords: kernels matrix; matrix hadamard; simultaneous kernels; hadamard powers ... See more keywords
Operators on positive semidefinite inner product spaces
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DOI: 10.1016/j.laa.2020.03.004
Abstract: Abstract Let U be a semiunitary space; i.e., a complex vector space with scalar product given by a positive semidefinite Hermitian form 〈 ⋅ , ⋅ 〉 . If a linear operator A : U… read more here.
Keywords: operators positive; product; inner product; semidefinite inner ... See more keywords
Low-Rank Positive Semidefinite Matrix Recovery From Corrupted Rank-One Measurements
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DOI: 10.1109/tsp.2016.2620109
Abstract: We study the problem of estimating a low-rank positive semidefinite (PSD) matrix from a set of rank-one measurements using sensing vectors composed of i.i.d. standard Gaussian entries, which are possibly corrupted by arbitrary outliers. This… read more here.
Keywords: rank positive; matrix; low rank; positive semidefinite ... See more keywords
Norm inequalities for positive semidefinite matrices and a question of Bourin
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DOI: 10.1142/s0129167x17501026
Abstract: Let A,B,X ∈ Mn(ℂ) such that A and B are positive semidefinite. It is shown that ∥|AtXB1−t + BtX∗A1−t|∥≤∥|AX|∥ + ∥|XB|∥ for t ∈ [0, 1] and for every unitarily invariant norm. This gives an… read more here.
Keywords: inequalities positive; matrices question; semidefinite matrices; norm inequalities ... See more keywords
Monotone transformations on the cone of all positive semidefinite real matrices
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DOI: 10.1515/ms-2017-0386
Abstract: Abstract Let Hn+ $\begin{array}{} \displaystyle H_{n}^{+} \end{array}$(ℝ) be the cone of all positive semidefinite (symmetric) n × n real matrices. Matrices from Hn+ $\begin{array}{} \displaystyle H_{n}^{+} \end{array}$(ℝ) play an important role in many areas of… read more here.
Keywords: begin array; array displaystyle; real matrices; end array ... See more keywords
An eigenvalue inequality for positive semidefinite k × k block matrices
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DOI: 10.7153/jmi-2020-14-90
Abstract: In this paper, we give some generalized results on matrix eigenvalue majorization inequality for positive semidefinite block matrices under a condition, which is a natural extended result given by Lin [4]. read more here.
Keywords: block matrices; inequality positive; positive semidefinite; semidefinite block ... See more keywords