ON THE INVERSION OF CERTAIN MATRICES

Author: Schechter, S.
Published: United States : [publisher not identified], 1959.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1959.
Physical Description: microopaque : positive ; 8 x 13 cm

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Summary

Properties of matrices of the form H = {(a/sub i/-b/sub j) /sup -1/} are investigated. If G = H/sup -1/ = c/sub ij/ then explicit formulas are given for {c/sub ij/}, and the row and column sums of G. These extend formulas previously given by Collar and Smith for the generalized Hilbert matrix. For H symmetric and posittve definite the smallest eigenvalue of H and its P- condition are estimated. (auth)

Report Numbers

NYO-2539

Other Subject(s)

Collection

U.S. Atomic Energy Commission depository collection.

Note

DOE contract number: AT(30-1)-1480
NSA number: NSA-13-010153
OSTI Identifier 4271491
Research organization: New York Univ., New York. Atomic Energy Commission Computing and Applied Mathematics Center.

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