A new BCR method for coupled operator equations with submatrix constraint. (English) Zbl 07924036
Summary: In the present work, a new biconjugate residual (BCR) algorithm is proposed in order to compute the constraint solution of the coupled operator equations, in which the constraint solution include symmetric solution, reflective solution, centrosymmetric solution and anti-centrosymmetric solution as special cases. When the studied coupled operator equations are consistent, it is proved that constraint solutions can be convergent to the exact solutions if giving any initial complex matrices or real matrices. In addition, when the studied coupled operator equations are not consistent, the least norm constraint solutions above can also be computed by selecting any initial matrices. Finally, some numerical examples are provided for illustrating the effectiveness and superiority of new proposed method.
MSC:
| 13F35 | Witt vectors and related rings |
| 15A06 | Linear equations (linear algebraic aspects) |
| 41A29 | Approximation with constraints |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
| 65F30 | Other matrix algorithms (MSC2010) |
Keywords:
operator matrix equations; BCR algorithm; least-norm constraint solutions; submatrix constraintReferences:
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