Elementary Linear Algebra

  title={Elementary Linear Algebra},
  author={Stephen Andrilli and David A. Hecker},

Some Properties for the Euclidean Distance Matrix and Positive Semidefinite Matrix Completion Problems

The Euclidean distance matrix (EDM) completion problem and the positive semidefinite (PSD) matrix completion problem are considered and some properties about the uniqueness and the rigidity of the conformation for solutions to the EDM and PSD completion problems are presented.

Using least-squares to find an approximate eigenvector

The least-squares method can be used to approximate an eigenvector for a matrix when only an approximation is known for the corresponding eigenvalue. In this paper, this technique is analyzed and

Application of GOCE data for regional gravity field modeling

In principle, every component of a disturbing gravity gradient tensor measured in a satellite orbit can be used to obtain gravity anomalies on the Earth’s surface. Consequently, these can be used in

Numerical Methods for Nonholonomic Mechanics Sindre Kristensen Hilden

The results indicate that the nonholonomic integrator by McLachlan and Perlmutter sometimes conserves energy better than the 2-stage SPARK Lobatto IIIA-B method, and the same two methods are found to conserve energy equally well in long-time integrations.

Decomposing Farkas Interpolants

The decomposed interpolants are introduced, a fundamental extension of the Farkas interpolants obtained by identifying and separating independent components from the interpolant structure using methods from linear algebra.

Meshfree Least Square-based Finite Difference method in CFD applications

Most commercial computational fluid dynamics (CFD) packages available today are based on the finite volume- or finite element method. Both of these methods have been proven robust, efficient and

Adaptive Synchronization Control and Parameters Identification for Chaotic Fractional Neural Networks with Time-Varying Delays

An analytical, rigorous, and simple adaptive control method is given, which can make two coupled fractional-order delayed neural networks achieve synchronization and the uncertain system parameters can also be identified along with the realization of synchronization.

Security System Design on Feature Information of Biometric Fingeprint using Kronecker Product Operation and Elementary Row Operation

  • R. MukhaiyarSyawaludin
  • Computer Science
    2019 16th International Conference on Quality in Research (QIR): International Symposium on Electrical and Computer Engineering
  • 2019
A matrix operation called Kronecker Product Operation (KPO) to manipulate the value of each pixel of the fingerprint feature to create a robust fingerprint protection system that guarantees any fingerprint database users to have a secure fingerprint feature.