Castle Matrix: 4 October 1980

Castle Matrix: 4 October 1980

Castle Matrix: 4 October 1980 Stephen Bamett University of Bradford, West Yorkshire BD? lDP, England and Henry Power University College, Dublin...

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Castle Matrix: 4 October 1980 Stephen

Bamett

University

of Bradford,

West Yorkshire BD? lDP, England

and Henry Power

University

College, Dublin,

Ireland

(At a meeting on Matrix Theory and its Applications in Dublin in October of 1980, organized by the Irish Mathematical Society, two participants browsing in a bookstore discovered by chance the existence of a castle named Castle Matrix. In order to share this discovery with other linear algebraists, they composed a poem which is printed below.-Ed.)

We Mad Matrician’s’ From the countries

students, whence there came

Hamilton and Cayley, Of everlasting fame, One surlny day in Dublin By fortune’s happy chance Were led to make a finding Of great significanceThat slumb’ring through the ages, In Ireland’s gentle clime, Has stood the Castle Matrix,2 A bastion of time! 0 Temple to that Goddess, Thy future is assured, For by the use of matrices, Are ailing systems cured! All devotees, resolving, A pilgrimage must make, To Rathkeale’s Castle Matrix, Before this life forsake. M.M., confiding, tells us LINEAR ALGEBRA AND ITS APPLICATIONS 41:275-276

(1981)

0 Elsevier North Holland, Inc., 1981 52 Vanderbilt Ave., New York, NY 10017

0024379~5/81/070275+2$02.50

275

STEPHEN

276

BARNETT

AND HENRY POWER

There he’ll organise a ldl. Display his poles and zeros, Solve eq11ations 011 the wall. IIis friend the State Ol~server.’ Will attend, with co11rtly grace. To tlatice with all the Iadie5. ;Irorurtl the cyclic space! hl.hl., in mask, presiding A:, Chairman and M.(;.. Exuding hostly nnction, Will clispense the 1)11lisatid tea. In

co11fideuce he’ll tell us he moves the Latent

Ihw

Roots.

By state or oritp11t vectors. Revealing awesome tl-rlths! ~~rormd him Ranks of Colurn~~sCompa11ions” where he goesand Tmnsposing, Rows. It’s halfway to Killariiey, So11thwest from Limerick town;

While

writhing,

l~or~nd his feet, the makely

%l.hl. with velvet Blarney Invites his Colleag11es’ dow11! So will you join IIS. <2mratles”:J Are ~011 comiq$ one ant1 all. To a I)lunper feast of Feedl)ack. At the Mad klatrician’5 l~all:-’ REFERENCES H. M. Power, The Mad Matrician strikes again, Electronics cm! l’oww 22:229%233 (1976). C. Dunraven (Ed), Irish llouses, Gzstlcs mti Gardens open to the Public, Eason & Son Ltd., Duldin, 1979. D. G. Luenberger, Observing the state of a linear system, IEEE Trms. Militmry Electronics, 8:74480 (1964). S. Barn&t, Matrir‘es in Control Z’hwry, Van Nostrand Reinhold, Lor1clon. 1971. I. J. Good, The Colleague matrix, a Chebyshev analogue of the companion matrix, (Iunrt. J. Math (0x$ Sm.) 12:61b68 (1961). S. Barnett, A companion matrix ardogue for orthogonal polynomials, I,incur Algeh anti A&. 12:197-208 (1975).