Maximal determinant over a certain class of matrices and its application to D-optimality of designs

Abstract. The formulas presented in [Molinari, L.G. Determinants of block tridiagonal matrices. Linear Algebra Appl., 2008; 429, 2221-2226 for evaluating the determinant of block tridiagonal matrices with (or without) corners are used to derive the determinant of any multidiagonal matrices with (or without) corners with some specified non-zero minors. Algorithms for calculation the determinant based on this method are given and properties of the determinants are studied. Some applications are presented.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Maximal determinant over a certain class of matrices and its application to D-optimality of designs

Cited by 3 publications

References 14 publications

On Universal Optimality of Circular Weakly Neighbor Balanced Designs Under an Interference Model

On Universal Optimality of Circular Weakly Neighbor Balanced Designs Under an Interference Model

On the Optimality of Circular Block Designs Under a Mixed Interference Model

Determinants of multidiagonal matrices

Contact Info

Product

Resources

About