Results 61 to 70 of about 2,984,671 (302)
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications [PDF]
Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based ...
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Vermeersch, Christof, De Moor, Bart
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
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On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices
In this paper, we consider some block matrices of dimension $nm\times{nm}$ whose components are triangular matrices of dimension $n\times{n}$. We prove that the determinant of such block matrices is determined only by the diagonal elements of their ...
Fatma Altun, Ufuk Kaya
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On the Marginal Distribution of the Diagonal Blocks in a Blocked Wishart Random Matrix [PDF]
Let A be a (m1+m2)×(m1+m2) blocked Wishart random matrix with diagonal blocks of orders m1×m1 and m2×m2. The goal of the paper is to find the exact marginal distribution of the two diagonal blocks of A. We find an expression for this marginal density involving the matrix-variate generalized hypergeometric function.
Kjetil B. Halvorsen +2 more
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Epigenetic reprogramming of lineage switching in cancer
Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı +4 more
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Coupled Sylvester-type Matrix Equations and Block Diagonalization
We prove Roth-type theorems for systems of matrix equations including an arbitrary mix of Sylvester and $\star$-Sylvester equations, in which the transpose or conjugate transpose of the unknown matrices also appear.
Dmytryshyn, Andrii,, Kågstrom, Bo,
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ACCURACY ESTIMATION OF METHOD FOR PARAMETERS MEASUREMENT OF PULSE SIGNALS AND OFDM (N-OFDM) SIGNALS
For the first time, with the help of mathematical modelling, clarified the properties of the received analytical relations and set the limits possibilities of OFDM (N-OFDM) signal demodulation method in the background of impulse signals in the integrated
Vadym I. Slusar +2 more
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The Block Landweber Iterative Method for Light Field Reconstruction from a Focal Stack
Light field imaging involves reconstructing a 4D light field from a 3D focal stack, which makes it challenging to reconstruct the light field from incomplete projection data. To address this problem, a linear projection system is established to model the
Yuhan Liu, Gangrong Qu, Shan Gao
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