Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Chemical Formulas02:52

Chemical Formulas

61.8K
A chemical formula presents information about the proportions of atoms constituting a particular chemical compound or molecule, mainly using symbols of elements and numbers. At times other symbols, such as dashes, parentheses, brackets, commas, plus, and minus signs, are also used. A chemical formula can be one of three types – molecular, empirical, and structural.
61.8K
Experimental Determination of Chemical Formula02:37

Experimental Determination of Chemical Formula

47.8K
The elemental makeup of a compound defines its chemical identity, and chemical formulas are the most concise way of representing this elemental makeup. When a compound’s formula is unknown, measuring the mass of its constituent elements is often the first step in determining the formula experimentally.
47.8K
Ionic Compounds: Formulas and Nomenclature03:34

Ionic Compounds: Formulas and Nomenclature

88.2K
An element composed of atoms that readily lose electrons (a metal) can react with an element composed of atoms that readily gain electrons (a nonmetal) to produce ions through complete electron transfer. The compound formed by this transfer is stabilized by the electrostatic attractions (ionic bonds) between the oppositely charged ions.
88.2K
Molecular Compounds: Formulas and Nomenclature03:10

Molecular Compounds: Formulas and Nomenclature

56.3K
Molecular compounds or covalent compounds result when atoms share electrons to form covalent bonds. Since there is no electron transfer, molecular compounds do not contain ions; instead, they consist of discrete, neutral molecules. 
56.3K
Formula Mass and Mole Concepts of Compounds02:56

Formula Mass and Mole Concepts of Compounds

82.7K
Formula Mass of Covalent Compounds
82.7K
Systematic Error: Methodological and Sampling Errors01:15

Systematic Error: Methodological and Sampling Errors

11.1K
In the case of systematic errors, the sources can be identified, and the errors can be subsequently minimized by addressing these sources. According to the source, systematic errors can be divided into sampling, instrumental, methodological, and personal errors.
Sampling errors originate from improper sampling methods or the wrong sample population. These errors can be minimized by refining the sampling strategy. Defective instruments or faulty calibrations are the sources of instrumental...
11.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Overexpression of wildtype EGFR is tumorigenic and denotes a therapeutic target in non-small cell lung cancer.

Oncotarget·2015
Same author

Shared Genetic Etiology between Type 2 Diabetes and Alzheimer's Disease Identified by Bioinformatics Analysis.

Journal of Alzheimer's disease : JAD·2015
Same author

Collective punishment is more effective than collective reward for promoting cooperation.

Scientific reports·2015
Same author

Application of novel catalytic-ceramic-filler in a coupled system for long-chain dicarboxylic acids manufacturing wastewater treatment.

Chemosphere·2015
Same author

Coexistence of Scattering Enhancement and Suppression by Plasmonic Cavity Modes in Loaded Dimer Gap-Antennas.

Scientific reports·2015
Same author

Melatonin facilitates adipose-derived mesenchymal stem cells to repair the murine infarcted heart via the SIRT1 signaling pathway.

Journal of pineal research·2015
Same journal

The infimum values of two probability functions for the Gamma distribution.

Journal of inequalities and applications·2024
Same journal

The existence of nonnegative solutions for a nonlinear fractional <i>q</i>-differential problem via a different numerical approach.

Journal of inequalities and applications·2021
Same journal

Correction to: On the spectral norms of <i>r</i>-circulant matrices with the bi-periodic Fibonacci and Lucas numbers.

Journal of inequalities and applications·2019
Same journal

Erratum to: General Bahr-Esseen inequalities and their applications.

Journal of inequalities and applications·2019
Same journal

Hermite-Hadamard type inequalities for <i>F</i>-convex function involving fractional integrals.

Journal of inequalities and applications·2019
Same journal

Global maximal inequality to a class of oscillatory integrals.

Journal of inequalities and applications·2019
See all related articles

Related Experiment Video

Updated: Feb 14, 2026

2D and 3D Matrices to Study Linear Invadosome Formation and Activity
12:25

2D and 3D Matrices to Study Linear Invadosome Formation and Activity

Published on: June 2, 2017

10.5K

An alternative error bound for linear complementarity problems involving [Formula: see text]-matrices.

Lei Gao1

  • 1School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji, P.R. China.

Journal of Inequalities and Applications
|February 13, 2018
PubMed
Summary
This summary is machine-generated.

A new error bound for linear complementarity problems involving P-matrices offers improved accuracy over existing methods. Numerical examples demonstrate its effectiveness, particularly for P-matrix problems.

Keywords:
Error boundsLinear complementarity problemsP-matrices[Formula: see text]-matrices

More Related Videos

Cortisol Extraction from Sturgeon Fin and Jawbone Matrices
06:01

Cortisol Extraction from Sturgeon Fin and Jawbone Matrices

Published on: September 10, 2019

8.7K
Isolation and Quantification of Botulinum Neurotoxin From Complex Matrices Using the BoTest Matrix Assays
12:25

Isolation and Quantification of Botulinum Neurotoxin From Complex Matrices Using the BoTest Matrix Assays

Published on: March 3, 2014

16.6K

Related Experiment Videos

Last Updated: Feb 14, 2026

2D and 3D Matrices to Study Linear Invadosome Formation and Activity
12:25

2D and 3D Matrices to Study Linear Invadosome Formation and Activity

Published on: June 2, 2017

10.5K
Cortisol Extraction from Sturgeon Fin and Jawbone Matrices
06:01

Cortisol Extraction from Sturgeon Fin and Jawbone Matrices

Published on: September 10, 2019

8.7K
Isolation and Quantification of Botulinum Neurotoxin From Complex Matrices Using the BoTest Matrix Assays
12:25

Isolation and Quantification of Botulinum Neurotoxin From Complex Matrices Using the BoTest Matrix Assays

Published on: March 3, 2014

16.6K

Area of Science:

  • Numerical Analysis
  • Optimization Theory
  • Matrix Theory

Background:

  • Linear Complementarity Problems (LCPs) are fundamental in various fields, including optimization and game theory.
  • Error bounds are crucial for assessing the reliability of algorithms solving LCPs.
  • Existing error bounds for P-matrices have limitations in certain scenarios.

Purpose of the Study:

  • To introduce a novel error bound for linear complementarity problems specifically for P-matrices.
  • To compare the efficacy of the new bound against a previously established bound by García-Esnaola and Peña.
  • To investigate new perturbation bounds for P-matrix LCPs.

Main Methods:

  • Derivation of a new analytical error bound for P-matrix LCPs.
  • Conducting numerical experiments to validate the proposed bound.
  • Comparative analysis of the new bound with existing bounds using numerical examples.
  • Development of new perturbation bounds for P-matrix LCPs.

Main Results:

  • The proposed error bound demonstrates superior performance compared to the García-Esnaola and Peña bound in specific cases.
  • Numerical examples confirm the practical advantages of the new error bound.
  • New perturbation bounds for P-matrix LCPs have been established.

Conclusions:

  • The novel error bound offers a valuable improvement for analyzing P-matrix linear complementarity problems.
  • The findings contribute to more robust and accurate computational methods for LCPs.
  • Further research into perturbation bounds can enhance the understanding of LCP sensitivity.