Linear Algebra LA = RA + OP
Rational Approximation RA = OP + LA
Orthogonal Polynomials OP = LA + RA

Do you want to learn about Euclidean fugues?
Where did Lanczos, Euclid and Padé meet?
What and why did Chebyshev and Stieltjes know about this?
Where is Kronecker's index pointing to? and why?
How did Gram and Schmidt got mixed up in all this?
Why do Hankel and Toeplitz always wear stripes?
Will Routh and Hurwitz find out about the roots? how many and where?
Can Schur and Cohn do it faster?
Have Frobenius and Baker been out in Krylov's space together?
Why do Szegö and Schur have so much in common?
How did Levinson find out? and why is he also part of the deal?

You want to know the answers to all these questions?

[book] Read all about it in
A. Bultheel, M. Van Barel:
Linear algebra, rational approximation, and orthogonal polynomials
Studies in Computational Mathematics 6.
Elsevier Science, Amsterdam, December 1997 (446 pages). ISBN 0-444-82872-9
Preface and Table of contents (39K)