Abstract
The Kantorovich–Wielandt angle θ( A) and the author's operator angle φ( A) are related by cos φ(A 2)= sin θ(A) . Here A is an arbitrary symmetric positive definite (SPD) matrix. The relationship of these two different geometrical perspectives is discussed. An extension to arbitrary nonsingular matrices A is given. A related four-way relationship with the operator trigonometry, strengthened CBS constants, and domain decomposition methods is noted.
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