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where, are known real matrices; denotes that the th component is with all other entries being zeros and can be factorized into.
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where is a positive semidefinite matrix, and denotes that is a positive semidefinite matrix.
Real matrix (P>0) (≥0) denotes that P is a symmetric positive definite matrix (positive semi-definite).
And A[ i, j][ u, v] denotes the element of [ i, j] rows and [ u, v] column of the matrix A. The term 1/ mn denotes that point d u or point d v is an acnode.
We use (mathbb {R}) after a vector or matrix to denote that it is represented up to a scale factor.
The curve with t = 1 denotes that the matrix we employed is Φ 128×256.
The notation X ≽ 0 denotes that the matrix X is positive semidefinite.
If the matrix (Gin mathcal{R}^{ntimes n}) is symmetric, we use the symbol (|x|_{G}^{2}) to denote (x^{top}Gx) even if G is indefinite; (Gsucc0) (resp., (Gsucceq0)) denotes that the matrix G is positive definite (resp., semi-definite).
If the matrix (Ginmathcal{R}^{ntimes n}) is symmetric, we use the symbol (Vert x Vert _{G}^{2}) to denote (x^{top}Gx) even if G is indefinite; (Gsucc0) (resp., (Gsucceq0)) denotes that the matrix G is positive definite (resp., semi-definite).
"WCM + CoSaMP" denotes that the measurement matrix is optimized by WCM method, and the reconstruction algorithm is CoSaMP.
"WCM + MFB-CoSaMP" denotes that the measurement matrix is optimized by WCM method, and the reconstruction algorithm is MFB-CoSaMP.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com