Results 81 to 90 of about 10,628 (259)
On the boundary of totally positive upper triangular matrices
Let B+ ⊂ GLn (R) denote the subgroup of upper triangular n × n matrices with positive entries on the main diagonal. A matrix M ∈ B+ is called totally positive if the determinants of all its minors not containing a row or column lying completely under the
Shapiro, B.Z., Shapiro, M.Z.
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On the characterization of totally nonpositive matrices [PDF]
The final publication is available at Springer via http://dx.doi.org/10.1007/s40324-016-0073-1[EN] A nonpositive real matrix $A= (a_{ij})_{1 \leq i, j \leq n}$ is said to be totally nonpositive (negative) if all its minors are nonpositive (negative) and ...
Pelaez, María J. +2 more
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MITF maintains genome stability in nonmelanocyte lineages
MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
wiley +1 more source
We study the combinatorial description of the LDU-decomposition of totally positive matrices. We give a description of the lower triangular L, the diagonal D, and the upper triangular U matrices of the LDU-decomposition of totally positive matrices in ...
Muhammad ElGebali +3 more
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Algorithms for curve design and accurate computations with totally positive matrices [PDF]
Esta tesis doctoral se enmarca dentro de la teoría de la Positividad Total. Las matrices totalmente positivas han aparecido en aplicaciones de campos tan diversos como la Teoría de la Aproximación, la Biología, la Economía, la Combinatoria, la ...
Rubio Serrano, Beatriz +1 more
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Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
A class of totally positive P-matrices whose inverses are M-matrices
In this work we introduce some technical conditions to prove that a P-matrix has an inverse M-matrix.
Gassó, M., Torregrosa, Juan R.
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A matrix is totally positive (or non-negative) of order , denoted (or ), if all minors of size are positive (or non-negative). It is well known that such matrices are characterized by the variation diminishing property together with the sign non ...
Khare, Apoorva +2 more
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
wiley +1 more source
Elimination techniques: from extrapolation to totally positive matrices and CAGD
In this survey, we will show some connections between several mathematical problems such as extrapolation, linear systems, totally positive matrices and computer-aided geometric design, with elimination techniques as the common tool to deal with all of ...
Mühlbach, G. +3 more
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