Results 31 to 40 of about 95,969 (262)
The M-P (Moore–Penrose) pseudoinverse has as a key application the computation of least-squares solutions of inconsistent systems of linear equations. Irrespective of whether a given input matrix is sparse, its M-P pseudoinverse can be dense, potentially
Fampa, Marcia, Lee, Jon, Ponte, Gabriel
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Results on Resistance Distance and Kirchhoff Index of Graphs With Generalized Pockets
F, Hv are considered simple connected graphs on n and m + 1 vertices, and v is a specified vertex of Hv and u1, u2, … uk ∈ F. The graph G = G[F, u1, … , uk, Hv] is called a graph with k pockets, obtained by taking one copy of F and k copies of Hv and ...
Qun Liu, Jiaqi Li
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ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior +11 more
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Best linear unbiased estimation for varying probability with and without replacement sampling
When sample survey data with complex design (stratification, clustering, unequal selection or inclusion probabilities, and weighting) are used for linear models, estimation of model parameters and their covariance matrices becomes complicated.
Haslett Stephen
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On sparse reflexive generalized inverse
We study sparse generalized inverses $H$ of a rank-$r$ real matrix $A$. We give a construction for reflexive generalized inverses having at most $r^2$ nonzeros. For $r=1$ and for $r=2$ with $A$ nonnegative, we demonstrate how to minimize the (vector) 1-norm over reflexive generalized inverses.
Marcia Fampa, Jon Lee 0001
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ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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AbstractTraditionally, the existence of a generalized inverse of a ...
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ABSTRACT Background Secretory phospholipase A2 (sPLA2) is an inflammatory mediator linked to acute chest syndrome (ACS) in sickle cell disease (SCD), a serious complication that can develop during an acute vaso‐occlusive pain episode (VOE). Plasma sPLA2 levels have been proposed as a potential biomarker for predicting ACS onset.
Rawan Korman +10 more
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Inverses and eigenvalues of diamondalternating sign matrices
An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products
The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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