The robertson-taussky inequality revisited |
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| Authors: | Charles R Johnson |
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| Institution: | Department of Mathematics , The College of William and Mary , Williamsburg, VA, 23185 |
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| Abstract: | Let a positive definite Hermitian matrix H?Mn (C) be decomposed as H=A + iB, with A, B ? Mnm (R). We give two new proofs of the inequality det H ≤ det A (with equality iff B = 0. each of which vields something futher. One exhibits majorization between the eigenvalues of A and H the other allows proof of the permanental analog per H≥per A. |
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