In this article we propose a method to easily generate infinite multi-index positive definite self-adjoint matrices as well as Riesz bases in suitable subspaces of L2(Rd). The method is then applied to obtain some classes of multi-index Toeplitz matrices which are bounded and strictly positive on l2(Zd). The condition number of some of these matrices is also computed.
A method for generating infinite positive self-adjoint test matrices and Riesz bases
VAN DER MEE, CORNELIS VICTOR MARIA;
2005-01-01
Abstract
In this article we propose a method to easily generate infinite multi-index positive definite self-adjoint matrices as well as Riesz bases in suitable subspaces of L2(Rd). The method is then applied to obtain some classes of multi-index Toeplitz matrices which are bounded and strictly positive on l2(Zd). The condition number of some of these matrices is also computed.
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