Research in mathematics can be viewed as the search for some hidden keys that open numerous scientific locks. In this book, we seek key techniques and ideas to unify various computations with matrices and polynomials, which are the oldest subjects in mathematics and computational mathematics and the backbone of modern computations in the sciences, engineering, and communication.
Four millennia ago Sumerians wrote the solutions of polynomial equations on clay tablets. Later the ancient Egyptians did so on papyrus scrolls [B40], [B068]. Likewise, the solution of linear systems of equations, the most popular matrix operation, can also be traced back to ancient times.