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The relation between this design problem and a problem of generating a matrix with specified eiegenvalues, which maps a given set of vectors of another given set, is investigated.
These problems include: constructing a zero-one matrix with specified row- and column-sums, constructing a simple digraph with specified in- and out-degrees and constructing a zero-one flow pattern in a complete network, where each vertex has a specified net supply or demand.
diag represents a diagonal matrix with specified diagonal entries.
As an application of the qd formula, we present a procedure for getting a tridiagonal matrix with specified multiple eigenvalues.
It is necessary to control the eigenvalues of A for getting T as a tridiagonal matrix with specified eigenvalues.
We finally present a procedure for constructing a tridiagonal matrix with specified multiple eigenvalues, and then give four examples for the resulting procedure.
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Another application is to the construction of test matrices with specified singular values.
Examples are given through providing with four tridiagonal matrices with specified multiple eigenvalues.
One of the important problems in linear algebra is to construct matrices with specified eigenvalues.
Assuming a clean separation of the coupled levels, the procedure employs the rotating wave approximation together with a decomposition of a unitary matrix into simpler matrix factors with specified structure.
The PIA is introduced to evaluate the first-order ordinary differential matrix equation with specified two-end boundary conditions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com