Results 91 to 100 of about 1,052,390 (266)
Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials [PDF]
J. Rissanen
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On the evaluation of the Eigenvalues of a banded toeplitz block matrix
AbstractLet A = (aij) be an n × n Toeplitz matrix with bandwidth k + 1, k = r + s, that is, aij = aj−i, i, j = 1,… ,n, ai = 0 if i > s and if i < -r. We compute p(λ)= det(A - λI), as well as p(λ)/p′(λ), where p′(λ) is the first derivative of p(λ), by using O(k log k log n) arithmetic operations. Moreover, if ai are m × m matrices, so that A is a banded
BINI, DARIO ANDREA, Pan V.
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On the Properties of the Power Systems Nodal Admittance Matrix
This letter provides conditions determining the rank of the nodal admittance matrix, and arbitrary block partitions of it, for connected AC power networks with complex admittances.
Kettner, Andreas Martin, Paolone, Mario
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This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain+3 more
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The Tropical Matrix Groups with Symmetric Idempotents
In this paper we study the semigroup Mn(T) of all n×n tropical matrices under multiplication. We give a description of the tropical matrix groups containing a diagonal block idempotent matrix in which the main diagonal blocks are real matrices and other ...
Lin Yang
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Inhibitor of DNA binding‐1 is a key regulator of cancer cell vasculogenic mimicry
Elevated expression of transcriptional regulator inhibitor of DNA binding 1 (ID1) promoted cancer cell‐mediated vasculogenic mimicry (VM) through regulation of pro‐angiogenic and pro‐cancerous genes (e.g. VE‐cadherin (CDH5), TIE2, MMP9, DKK1). Higher ID1 expression also increased metastases to the lung and the liver.
Emma J. Thompson+11 more
wiley +1 more source
Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition
Maximum margin criterion (MMC) is a well-known method for feature extraction and dimensionality reduction. However, MMC is based on vector data and fails to exploit local characteristics of image data.
Xiao-Zhang Liu, Guan Yang
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On generalized inverses of a block in a partitioned matrix
AbstractGiven symmetric generalized inverses of Aχx′c, where χ is a vector with n components, we obtain formulae for the corresponding generalized inverses (symmetric) of A. An application of such formulae in linear models is suggested.
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This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani+14 more
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Likelihood Ratio Test for the Hyper-Block Matrix Sphericity Covariance Structure
In this paper the authors introduce the hyper-block matrix sphericity test which is a generalization of both the block-matrix and the block-scalar sphericity tests and as such also of the common sphericity test. This test is a tool of crucial importance
Bárbara R. Correia +2 more
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