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          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Other Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    }
  },
  "_ordered_sections": [
    "Summary",
    "Extended Summary",
    "Parameters",
    "Attributes",
    "Methods",
    "Returns",
    "Yields",
    "Receives",
    "Other Parameters",
    "Raises",
    "Warns",
    "Warnings",
    "Notes"
  ],
  "item_file": "/scipy/linalg/_decomp_cossin.py",
  "item_line": 11,
  "item_type": "function",
  "aliases": [
    "scipy.linalg.cossin"
  ],
  "example_section_data": {
    "__type": "Section",
    "__tag": 4015,
    "children": [
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "import numpy as np\nfrom scipy.linalg import cossin\nfrom scipy.stats import unitary_group\nx = unitary_group.rvs(4)\nu, cs, vdh = cossin(x, p=2, q=2)\nnp.allclose(x, u @ cs @ vdh)\n",
        "execution_status": "success"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nSame can be entered via subblocks without the need of ``p`` and ``q``. Also\nlet's skip the computation of ``u``\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "ue, cs, vdh = cossin((x[:2, :2], x[:2, 2:], x[2:, :2], x[2:, 2:]),\n                     compute_u=False)\nprint(ue)\nnp.allclose(x, u @ cs @ vdh)\n",
        "execution_status": "success"
      }
    ],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [],
  "signature": {
    "__type": "SignatureNode",
    "__tag": 4029,
    "kind": "function",
    "parameters": [
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        "__type": "SigParam",
        "__tag": 4030,
        "name": "X",
        "annotation": {
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          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": {
          "__type": "Empty",
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        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "False"
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      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "swap_sign",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "False"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "compute_u",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "True"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "compute_vh",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "True"
      }
    ],
    "return_annotation": {
      "__type": "Empty",
      "__tag": 4031
    },
    "target_name": "cossin"
  },
  "references": [
    ".. [1] Brian D. Sutton. Computing the complete CS decomposition. Numer.",
    "       Algorithms, 50(1):33-65, 2009."
  ],
  "qa": "scipy.linalg._decomp_cossin:cossin",
  "arbitrary": [],
  "local_refs": [
    "X",
    "compute_u",
    "compute_vh",
    "cs",
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}