New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations

John Gregory; Ralph W. Wilkerson

doi:10.1080/00036818108839347

New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations

John Gregory
, Ralph W. Wilkerson

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. © 1981, Taylor & Francis Group, LLC. All Rights Reserved.

Original language	American English
Journal	Applicable Analysis
Volume	12
DOIs	https://doi.org/10.1080/00036818108839347
State	Published - Jan 1 1981

Disciplines

Computer Sciences

Access to Document

10.1080/00036818108839347License: Unspecified

https://doi.org/10.1080/00036818108839347

Cite this

@article{8c745419f9e44304b9678e7f7920c532,

title = "New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations",

abstract = " In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. {\textcopyright} 1981, Taylor \& Francis Group, LLC. All Rights Reserved.",

author = "John Gregory and Wilkerson, \{Ralph W.\}",

year = "1981",

month = jan,

day = "1",

doi = "10.1080/00036818108839347",

language = "American English",

volume = "12",

journal = "Applicable Analysis",

}

TY - JOUR

T1 - New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations

AU - Gregory, John

AU - Wilkerson, Ralph W.

PY - 1981/1/1

Y1 - 1981/1/1

N2 - In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. © 1981, Taylor & Francis Group, LLC. All Rights Reserved.

AB - In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. © 1981, Taylor & Francis Group, LLC. All Rights Reserved.

UR - https://scholarsmine.mst.edu/comsci_facwork/1288

UR - https://doi.org/10.1080/00036818108839347

U2 - 10.1080/00036818108839347

DO - 10.1080/00036818108839347

M3 - Article

VL - 12

JO - Applicable Analysis

JF - Applicable Analysis

ER -

New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations

Abstract

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this