High Relative Accuracy for Corner Cutting Algorithms
Corner cutting algorithms are important in computer-aided geometric design and they are associated to stochastic non-singular totally positive matrices. Non-singular totally positive matrices admit a bidiagonal decomposition. For many important examples,
Jorge Ballarín +2 more
doaj +4 more sources
High Accuracy Acoustic Relative Humidity Measurement inDuct Flow with Air [PDF]
An acoustic relative humidity sensor for air-steam mixtures in duct flow is designed and tested. Theory, construction, calibration, considerations on dynamic response and results are presented. The measurement device is capable of measuring line averaged
Cees van der Geld +3 more
doaj +6 more sources
Trajectory Definition with High Relative Accuracy (HRA) by Parametric Representation of Curves in Nano-Positioning Systems [PDF]
Nanotechnology applications demand high accuracy positioning systems. Therefore, in order to achieve sub-micrometer accuracy, positioning uncertainty contributions must be minimized by implementing precision positioning control strategies.
Lucía Díaz Pérez +5 more
doaj +7 more sources
The High Relative Accuracy of Computations with Laplacian Matrices [PDF]
This paper provides an efficient method to compute an LDU decomposition of the Laplacian matrix of a connected graph with high relative accuracy. Several applications of this method are presented.
Héctor Orera, Juan Manuel Peña
doaj +5 more sources
Study on Relative Accuracy and Verification Method of High-Definition Maps for Autonomous Driving [PDF]
High-definition maps (HDM) for autonomous driving (AD) are an important component of AD systems. HDMs accurately provide a priori information, including lane lines, and road signs, for AD systems.
Tengfei Yu +3 more
doaj +4 more sources
High relative accuracy through Newton bases [PDF]
AbstractBidiagonal factorizations for the change of basis matrices between monomial and Newton polynomial bases are obtained. The total positivity of these matrices is characterized in terms of the sign of the nodes of the Newton bases. It is shown that computations to high relative accuracy for algebraic problems related to these matrices can be ...
Esmeralda Mainar +2 more
openaire +4 more sources
High relative accuracy with matrices of q‐integers [PDF]
AbstractThis article shows that the bidiagonal decomposition of many important matrices of q‐integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices.
Jorge Delgado 0001 +2 more
openaire +6 more sources
Design of Relative Attitude Determination Method Based on Gyroscope/BDS for Multi-Aircraft Formation [PDF]
It is an important trend in the future aviation field that multi-aircraft formation has strong multi operation ability, high reliability and high efficiency.
Lu Kewen, Wang Xinlong, Li Qunsheng, Chen Ding
doaj +1 more source
On the Total Positivity and Accurate Computations of r-Bell Polynomial Bases
A new class of matrices defined in terms of r-Stirling numbers is introduced. These r-Stirling matrices are totally positive and determine the linear transformation between monomial and r-Bell polynomial bases.
Esmeralda Mainar +2 more
doaj +1 more source
RELATIVE ACCURACY FOUND WITHIN IPHONE DATA COLLECTION [PDF]
The use of consumer gadgets such as smartphones can be incorporated in high accuracy LiDAR mapping with a proper assessment of sensors. Apple’s iPhone 13 Pro includes a LiDAR scanner that can create mapping projects with standard point cloud exports ...
R. Tamimi
doaj +1 more source

