Results 61 to 70 of about 23,672 (221)
Moore–Penrose inverse positivity of interval matrices
The authors study (entrywise) nonnegativity of the Moore-Penrose inverse \(C^\dag\) of a matrix \(C\in\mathbb{R}^{m\times n}\). In particular they consider the following questions: (1) When is \(C^\dag\) nonnegative? (2) When is \(C^\dag\) nonnegative if \(C\leq B\), where \(B\in \mathbb{R}^{m\times n}\) is a given matrix with \(B^\dag\geq 0\)?
Rajesh Kannan, M., Sivakumar, K.C.
openaire +2 more sources
On Wind Directions Estimated by Nacelle Lidar Under Different Reconstruction Methods
ABSTRACT The wind direction is closely linked to the power performance and structural loads of wind turbines. Conventional nacelle‐mounted vanes or sonic anemometers face errors associated with airflow distortions caused by turbine blades. Nacelle‐mounted lidar systems offer line‐of‐sight speed measurements from multiple positions ahead of the rotor ...
Feng Guo +7 more
wiley +1 more source
Extending the Moore-Penrose inverse
We show that it is possible to define generalized inverse similar to the Moore-Penrose inverse by slightly modified Penrose equations. Then we are Investigating properties of this, so-called extended Moore-Penrose inverse.
openaire +2 more sources
Convergence properties of dynamic mode decomposition for analytic interval maps
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Large‐Scale Genotype‐Based Trait Imputation With Multi‐Ancestry GWAS Data
ABSTRACT Genome‐wide association studies (GWAS) have been instrumental in identifying genetic variants associated with complex traits and diseases, including Alzheimer's disease (AD). However, traditional GWAS approaches often focus on European populations, which may lead to loss of power and limit the generalizability of findings across diverse ...
Jingchen Ren, Wei Pan
wiley +1 more source
On an inequality related to the volume of a parallelepiped
The problem of establishing an upper bound for the volume of a parallelepiped is considered by utilizing an original approach involving a skew-symmetric matrix of order four (along with its Moore–Penrose inverse).
Oskar Maria Baksalary, Götz Trenkler
doaj +1 more source
Definition and Computation of Tensor‐Based Generalized Function Composition
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
Characterization and Representation of Weighted Core Inverse of Matrices
In this paper, we introduce new representation and characterization of the weighted core inverse of matrices. Several properties of these inverses and their interconnections with other generalized inverses are explored.
Behera, Ratikanta +2 more
core
Tackling High Dimensionality in QSP: Guiding Model Order Reduction With Index Analysis
ABSTRACT Quantitative systems pharmacology (QSP) models offer a useful platform to integrate drug pharmacology with knowledge about biological mechanisms across multiple scales and data sources into a unified quantitative framework. This makes them invaluable to address many relevant questions in drug research and development.
Johannes Tillil +2 more
wiley +1 more source
In this work, a family of iterative algorithms for approximating the inverse of a square matrix and the Moore-Penrose inverse of a non-square one is proposed.
Esmaeil Kokabifar
doaj +1 more source

